The matter looks serious, very serious.
F3624 H was built in the fall of 1994
Disturbingly, there is a (one of several) "list of Motorola frame serial numbers" created by a mechanic (one of several) of this team.
It lists several numbers from around F363x - 365x belonging to specific team riders.
Your frame is very close to this one.
Try to reach the piece of card located on the fork steering tube - it could be interesting.