1962 - 1981 official was 3.11 with a tolerance of 0.13. The 3.35 is about 3% over max tolerance which can be explained by surface accumulation or a slightly thicker planchet. Just not an extra thickness that your caliper can read.
Could be a rolled thick planchet. BUT: of the 2 stacked cents in the image, is one bent Bentpenny? I have to look it up, but I think that the heavy one is within tolerances - but barely.
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