Can someone help decode this vin: 336878H344446.

I would like to know as much as posible, this is a gift from my mother who has had and drove the car since the early 90's.

 

Welcome. I moved your post to it's own thread, as you'll get a better answer than you would hijacking a mildly-relevant thread.

3 = Oldsmobile Division
36 = Cutlass (V8 engine)
87 = Holiday Coupe (2dr hardtop)
8 = 1968 model year
H = assembly plant. There was no "H" in 1968, so this is probably an "M" for Lansing, MI. Look again at the VIN.
344446 = sequential build number

Unfortunately, that's all the info you'll get from the VIN. Post a photo of the cowl tag, which contains more info.

 

I will do that tonight. Thanks in advanced for the information