^ I admit we don't know precisely how many nukes were fired, but Data's comment in ST:FC about the radioactive isotopes still left in the atmosphere (10 years after the war ended) plus Riker's reference to most of the major cities destroyed and very few governments left, do seem to suggest quite a lot. It's World War III, after all. Not likely to have been a brushfire.
Also regarding the war: We know one of the factions involved (the Eastern Coalition) but what were the others? Were there other groupings of nations that banded together, like how the ECON was centered around China?
Also regarding the war: We know one of the factions involved (the Eastern Coalition) but what were the others? Were there other groupings of nations that banded together, like how the ECON was centered around China?