It's not about accuracy, it's about not privileging 3700 over 3745. Neither is a particularly round number in, say, binary, and omitting saying "forty five" after converting this number into decimal system for human consumption is not much of a time saver.
But re-mentioning the “forty five” after a human asks you “three thousand seven hundred?” is mostly pointless nitpicking, and demonstrates a lack of understanding of human (well, at least, of neurotypical human) psychology IMO.
Here's another installment of rationality quotes. The usual rules apply: