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To the nearest thousand, no number can round to 3600 as that is not a whole multiple of thousands - it contains hundreds which are tenths of thousands.It would have to be largest [whole] number that rounds to 3600 to the nearest hundred which would be 3649.
3.6 × 103
Three thousand, six hundred.
24*32*52 = 3600
Such a number does not exist. 3600 is 60 squared and 4900 is 70 squared There is no number between 60 and 70 that is a multiple of 15 so there can be no square between 3600 and 4900 that is a multiple of 15.