3602897496900 has 729 divisors, whose sum is σ = 12716795020293. Its totient is φ = 852791846400.

The previous prime is 3602897496889. The next prime is 3602897496907. The reversal of 3602897496900 is 96947982063.

The square root of 3602897496900 is 1898130.

It is a perfect power (a square), and thus also a powerful number.

3602897496900 is a `hidden beast` number, since 3 + 60 + 2 + 89 + 7 + 496 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 3597250876164 + 5646620736 = 1896642^2 + 75144^2 .

It is a super-2 number, since 2×3602897496900² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3602897496907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 22948391622 + ... + 22948391778.

Almost surely, 2^{3602897496900} is an apocalyptic number.

3602897496900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3602897496900 is the 1898130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3602897496900

3602897496900 is an abundant number, since it is smaller than the sum of its proper divisors (9113897523393).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3602897496900 is a wasteful number, since it uses less digits than its factorization.

3602897496900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 3602897496900 in words is "three trillion, six hundred two billion, eight hundred ninety-seven million, four hundred ninety-six thousand, nine hundred".