Looks like a date mark to the right of the IMP 2A...can you make out the numbers or post a good pic?
Unless these were pilot line parts I haven't been able to find any documentation for the 3777830 part number although GM Parts WIKI search shows 3777830 replaced by 3780391 but the reference page linked does not show either part number.
My first suggestion that casting 3777830 must be part number 3780391 is now busted. Here is a listing for a 61 3780391-2 which seems to establish that it is not the same and my October 1960 Parts Manual for 61 as well as the 61 AIM show 3780391 as the only part number for 61.
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Also apparently there were running production mods since there are examples of casting numbers with a dash number including a 62 3813819-4 listed on ebay.
Just due to the early part number series of the aluminum part I'm thinking it was a pilot line part that didn't work out and was replaced before, or shortly after regular production began. I've never heard of 61 specific pilot line cars but who knows?
Not totally discounting the possibility of a special run of lightweight parts but they would have had to have reserved that early part number or possibly revived it from the pilot line trial run. We need access to the factory drawings...even the legends on the bottom of the AIM pages might show the part number change history but unfortunately those were not included in the reprint copies.