Gibson Les Paul
The 7k+ ohm readings you mentioned seem normal (aftermarket humbuckers can
read as high as around 15k ohm), but the 3.80k isn't a typical humbucker
reading unless the separate internal coils are connected in parallel,
which is fairly easy to do if the pickup has a 4-wire lead (whether that
would be the original wiring for that pickup is unclear).
These reading, according to the OP, were at the switch position, where the
centre position would be the two humbuckers in parallel.
Thus, 3.8k is pretty much as expected.
Gareth.
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