He said that during the game, some of his teammates were telling him, "You might be the MVP."
"And I was like, 'No way. No way. Not me.'"
Carroll said general manager John Schneider has positioned the Seahawks to be able to avoid the problems that can make it hard to repeat as NFL champions. Since Denver repeated in the 1999 game, only one team has won two Super Bowls in a row, the New England Patriots in 2004-05.
There's the need to replace players who leave via free agency. The need to pay other players with new, better-paying contracts.
"John Schneider has done an extraordinary job of structuring this roster contractually, and with the vision of looking ahead, so that we can keep our guys together," Carroll said. "One of the things that happens every so often is teams have a big fallout after they win the Super Bowl. We're not in that situation."
Carroll was reminded during Sunday's game of some of his blowout victories in college football bowl games when he was a championship-winning coach at Southern California.
"It felt like it. It looked like it. The score was like it," he said Monday.
"I really can't tell you exactly what it is, but something's going on, because I sat back there at the end of the first quarter and said, 'Shoot, here it goes,'" he said. "Bang, bang, bang, bang, and it's 22-0 at halftime."
Carroll described the lopsided nature of the game as "kind of like an avalanche," an interesting choice of words given the hubbub last week — and, really, for months before that — over whether the first outdoor Super Bowl at a cold-weather site would be affected by snow.