Britney Spears hitches a ride for James Corden's Carpool Karaoke

Oops! James Corden did it again, sharing his Carpool Karaoke commute with Britney Spears on Thursday's edition of The Late Late Show.

As they drove through L.A. byways with the CBS host at the wheel, they doubled up for Spears' hit songs including Superstar,Make Me,ToxicandBaby One More Time(the latter performed in matching schoolgirl garb).

And, of course, there was one more signature Spears tune.

"You know your song, Oops! ... I Did It Again?" asked Corden, leading up to it. "What's that about? What's it REALLY about?"

"I don't know," Spears demurely replied innocently. "I think it's just a song."

"Because every time I order at Domino's," said Corden, "I think, Oops! I did it again!"

Between their front-seat vocalizing during the 10-minute segment, the carpool couple engaged in chitchat.Spears reminded Corden she has two kids, ages 9 and 10.

"I want more," she declared.

"How many more?"

"Like, three. But I have to find the right guy first, and then "

" tell him that he's about to become the father of three children," Corden cut in with a grin before inquiring what sort of man she's looking for.

"I might not ever go to men again, I think, ever do the whole men thing anymore, or get married," she said. "I'm just done with men."

"You're saying you don't want to be with anyone, ever, the rest of your life?" Corden asked with surprise.

"I might French kiss someone," Spears hedged.

"Of COURSE! Yes!"

'Mum in her underwear'

Corden asked Spears if her kids had seen her Las Vegas show.

"What it's like for them if you're wearing a racy outfit?" he posed.

"I saw my mum in her underwear once when I was like 11. I can't shake the image from my brain."

Reflecting on her own childhood, Spears confided that she once got paddled in first grade, which left her "Traumatized! Traumatized!"

"I've never been spanked properly, for either pain or pleasure," Corden said.

Just as well, said Spears. That brand of bondage is pass.

"Men get off on being TICKLED for a very long time," Spears told him.

But Corden wasn't buying it.

"I don't know what my wife would do if I went home and went, 'Sweet baby James needs a little bit of a tickling."'