Are you looking for 3700 J, 3700 Iniezione or 3700 GTI (seems like they are all used to refer to the car)? I have not found any other year though. All sites I have since checked have it as 1965.
You're right with the year, it dates from May 1965.
But it does have a name (as well as 3700 J), one used by Maserati for a later model.
The car was actually commissioned by the German Maserati concessionaires for one of their customers, Herr Rupertzhoven..
Still locked for you to find the name.