Britain's Prince William and his wife Catherine, Duchess of Cambridge, speak to Prince Harry. (POOL/REUTERS)

In separate chats with Couric, the princes offered up relatively personal details about the queen, who has never given a press interview. Prince William, for example, said his grandmother is “chatty when she wants to be” in private.

He also explained how the queen encouraged him to “get rid” of the original 777-name guest list for his extravagant wedding to the duchess formerly known as Kate Middleton, which was full of people the couple did not know, and “start from [his] friends.”

Prince Harry said his “Granny,” as he called the queen, is “very normal, very relaxed.”

“When we were young it was very easy to take our grandmother for granted,” the prince told Couric. “It’s only really sort of been over the last sort of five, eight to 10 years that I’ve actually really learned to sort of understand and accept the huge deal that she is around the world, especially within the U.K.”

The special also featured interviews with the queen’s son Prince Andrew and granddaughters Princess Beatrice and Princess Eugenie.

The princes also shared their thoughts on having children, which has been the source of much media attention for Prince William in particular.

Prince William said he Catherine are “very keen to have a family” and “are looking forward to having a family in the future.”

Prince Harry told Couric, “I’ve longed for kids since I was very, very young.” In a statement that will surely get the hopes of princess-wannabes up, he added, “I’m waiting to find the right person, someone who’s willing to take on the job.”

Watch Princes William and Harry discuss the queen below. The full special can be viewed here