James Corden, Rod Stewart and A$AP Rocky sing carpool karaoke

Carpool karaoke never looked so cool than it did Tuesday night during a "Late Late Show" segment, which found host James Corden rocking out with Rod Stewart and rapper A$AP Rocky.

The trio cruised around Los Angeles, singing Stewart's hits (from "Maggie May" to "Do Ya Think I'm Sexy") and rapping to Rocky's "Everyday," which samples Stewart's song, "In a Broken Dream."

"I don't know if I've ever felt as cool as I do at this moment," Corden says at one point.

Corden, 36, talks with Stewart, 70, about the first time he lost his virginity and his partying days -- well, to be more exact, the "drinking and a-shagging and a-drinking and a-shagging."

And seeing Stewart sing along to his own songs is just...classic. It's bound to bring a smile to your face.

Watch the fun-filled drive below: