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Nitpicking a bit for the records:

If the run time limit can be modified, ARG_MAX from the headers won't reflect it.
But "getconf ARG_MAX" (using the libc call "sysconf") usually is correct.
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This thread has aged somewhat, but as i stumbled over it being interested in ARG_MAX, i feel free trying to plug it.

To my best knowledge it's 24576 on AIX 3, 4 and 5 (on 3.2 I could test this).
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(Earlier postings here suggested, that you missed to count your environment. But that is not a plausible explanation for the huge difference .)

Your approach has this flaw: It hits the maximum...

I like the method with cpp to find the macros in the headers.

There you also write:

Instead of ARG_MAX it's still NCARGS there, like in early unix variants.
However, SunOS 4 knows...