It's not just a Vista problem.
We bought two Logitech MX5500 combo sets for the office in April. Both had problems almost immediately. My keyboard worked intermittently for a while, then stopped working altogether.
On the other set, the mouse didn't work, but the keyboard did. Within a couple of months neither keyboard or mouse would work on either set (and yes, we checked/changed the batteries).
Both units were installed on XP Pro boxes. I've used Logitech products for years and never had a problem with them, until now.
I don't know about the 3200, but the 5500 combo is definitely Bluetooth.
Ken