VENICE, JUNE 10 -- Nancy Reagan joked today that a new Gallup poll on her popularity with men has her husband worried and might curtail any future solo trips she takes abroad.

According to the poll, she is the woman with whom American men would most like to spend an evening. Her nearest competition among those polled was actress Heather Locklear, with actresses Cybill Shepherd and Lynda Carter tied for third.

"This may be the last trip we take," she kidded reporters returning here from Stockholm with her aboard her Air Force jet. "I talked to my husband and he said, 'I'm sitting here with a poll in my hand, and I think you better get over here soon.'

"I'm flattered," she giggled, but surprised no one by saying that the man with whom she likes most to spend her evenings was waiting for her in Venice.

Elaine Crispen, her press secretary, said later that the first lady had received a mysterious bouquet of pink carnations in Stockholm from an admirer whose telephone number was scribbled on an accompanying card.

"It looks like a signature above it but we can't make it out," Crispen said.

Mrs. Reagan said she and the president talked late Tuesday night, apparently after she returned to her Stockholm hotel from a dinner given in her honor by U.S. Ambassador to Sweden Gregory J. Newell. The president, too, had been out to dinner, with his partners at the economic summit that concluded here today.

"I told him about the plane that flew over {Stockholm} with a banner behind it saying 'Ronnie has written Nancy express,' " she said, obviously enjoying the whole episode. "When they told me about the banner, I said, 'I think he's read the poll.' "

She was considerably less excited about another Gallup poll, this one conducted among Europeans. Asked whether Reagan or Soviet leader Mikhail Gorbachev had contributed more to peace, Europeans favored Gorbachev by almost a 5-to-1 margin -- 56 percent to 12 percent.

"Well, I don't believe that," Mrs. Reagan protested good-naturedly. "I don't like that poll. I like my other polls."

She seemed prepared to stay awhile when she sat down at a table where reporters had been working in the plane's rear cabin.

She took questions about how Reagan felt things were going at the summit.

"He was more occupied with the poll," she said. "It was late at night, but he said everything was going well."

And she made it plain that she didn't want to get into a discussion about a court ruling that a New York school district had violated constitutional rights of teachers by requiring them to be tested for drugs in order to receive tenure.

"I've always said there should be testing of people in high-risk positions," she said, "but I don't want to get into legal cases of teachers."

When questions finally got around to her 2 1/2-day trip to Sweden and the anti-drug-abuse programs she visited, she feigned relief.

"I thought you would never ask," she said.

A Swedish drug rehabilitation center for pregnant women, she said, "bears looking into ... We don't have anything like that in our country, and it is true that once you're going to have a child you get to feel differently.

"You look at yourself and the baby you're bringing into the world. You want to bring the baby in healthy and give him or her a good life, and you can't do that if you're on drugs," she said.

The Reagans don't watch what an aide calls "real steamy" movies, which explains the Laurel and Hardy and John Wayne flicks they brought with them from Washington.

"They prefer PG and the golden oldies," according to Crispen.

Now Mrs. Reagan can add a new tape to the family library, this one showing her dancing with a Swedish pop singer and singing with a group of Swedish entertainers at a high school antidrug event. They gave her the tape Tuesday at a Lions Club forum of nongovernmental programs that aim to curb the illicit use of narcotics.

She said today she probably wouldn't show it to the president right away.

"Not so soon after this {Gallup} poll," she said, laughing.

What happens when your boat breaks down in the middle of the Venice basin?

You hitchhike.

Nancy Reagan's press advance woman in Venice, Barbara Cook Fabiani, found herself in that high if not so dry predicament early Monday en route to White House press headquarters on the Lido.

Frantic that reporters' baggage she had been sent to escort might not make it to Mrs. Reagan's Stockholm-bound plane in time, Fabiani began yelling at passing boats and calling to shore on her walkie-talkie.

She finally managed to raise a colleague at the Hotel Londra, near St. Mark's Square.

"Send another boat. I'm stuck in the water," Fabiani pleaded.

"Return to the Londra," advised Ray Martinez, who has been assisting in advance arrangements for Mrs. Reagan's Venice schedule. Countered Fabiani: "What do you want me to do? Swim?"

It never came to that. Fabiani succeeded in thumbing a ride on a water taxi.

Nancy Reagan's official biography distributed by the U.S. Embassy in Stockholm never did get around to saying the year she was born. Her age has been a matter of conjecture ever since the Reagans entered the White House, and apparently it remains unresolved whether she was born in 1923, as she has said, or 1921, as records indicate.

On a sign-up sheet distributed during the flight to Stockholm, reporters and photographers had to list their birth dates as well as their birthplaces and passport numbers in order to be readmitted to Venice.

"Does Mrs. Reagan have to sign this, and does she put down her birth date?" inquired one reporter.

"She just writes 'haven't decided yet,' " said Crispen, using the answer the first lady gave Chris Wallace in an NBC-TV documentary a couple of years ago.

Julius Bengtsson, keeper of the First Hairdo on Mrs. Reagan's foreign journeys, dusted off his Swedish for this trip. Born in Canada and reared in Sweden, he immigrated to the United States at the age of 18.

While he does only Mrs. Reagan's hair (and occasional comb-outs for her staff) when she's traveling, he can boast of an international clientele that includes Sweden's Queen Silvia and Princess Liliane. ("I talked to her three times a day," he said of Liliane on this trip.) He credits Ulla Wachtmeister, wife of Sweden's ambassador to the United States, for recommending him to the queen when the Swedish royal couple were in Los Angeles for the 1986 Olympic Games.

In Stockholm Tuesday night Bengtsson stayed up until the wee hours at the newest "in" disco, where he gained entry as guest of the queen's hairdresser.

The only other time Bengtsson had been back in Stockholm since leaving in the mid-1960s was two years ago. Then it was as a tourist. This time the treatment was VIP.

"It's nice, going back this way," said Bengtsson, who never did manage to see relatives because he was "too busy" being interviewed by the Swedish media about his job.

"We barely got him out of Sweden," Mrs. Reagan told reporters on the return trip to Venice.