ANOVA effect size

I'm currently running a 3-way ANOVA and my sample size is very large
(~16000). Consequently, practically every main effect and interaction
is significant. However, two of the main effects and their interaction
explain the lions share of the variance (the F ratios are F1 = 18, F2
= 53, F1xF2 = 67). All the other effects have F values less than four.
I feel like there should be a short cut way to state this, e.g. "The
main effects and interaction of two of the experimental manipulations
accounted for X% of our explainable variance". Is there such a
measure? Is it as simple as adding up the MStreatments associated with
1, 2, 1 x 2 and dividing by the sum of all the MStreatments? I feel
like that should be a meaningful measure, but perhaps I'm missing
something.
.

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