If that is a serial number, then that is an older machine. The #'s aren't usually on the back of the machine head, however, so ???
All the (deleted) Singer files had to say was
serial #'s 2.925.000 to 3.679.999 - numbers allocated in 1879
They don't have model numbers for everything, but if you post a picture someone will probably be able to identify it for you.