Fair enough!!
I came up with 3,463 NM#3's produced in 1896 from Jinks' letter (of August 30, 2011) on my gun (#30261) from this sentence: "Smith & Wesson only produced 3,463 units of this model in 1896 of which just over 3,000 units were supplied to the Japanese Government."
Now, I suspect your confusion/curiosity may arise from the fact Jinks said "produced"----and you said "shipped". Perhaps the difference between the 3,800 units you mention and the 3,463 units Jinks cites were "produced" in 1895----or whenever---and then sat around gathering dust----as has been known to happen----from time to time.
Another possibility is Jinks regards the Frontier model you mentioned as separate and distinct from the everyday NM#3 model.
Bottom Line: You're asking the wrong guy. I collect (what I regard as) target guns. The NM#3 was the first of such, so I have the obligatory three of them (.44 Russian, 38/44, and 32/44). Beyond that, I don't know nothin' 'bout no antique S&W's----aside from a smattering of single shots. Jinks, on the other hand, has quite likely forgotten more than the rest of us know----all put together! So I'd ask him---unless you were just playing a little game of "gotcha"-----in which case--------
Ralph Tremaine