350800336656 has 405 divisors, whose sum is σ = 1257261612789. Its totient is φ = 90974822400.

The previous prime is 350800336637. The next prime is 350800336687. The reversal of 350800336656 is 656633008053.

The square root of 350800336656 is 592284.

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

350800336656 is a `hidden beast` number, since 3 + 508 + 0 + 0 + 33 + 66 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 316649296656 + 34151040000 = 562716^2 + 184800^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 547270096 + ... + 547270736.

Almost surely, 2^350800336656 is an apocalyptic number.

350800336656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

350800336656 is the 592284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350800336656

350800336656 is an abundant number, since it is smaller than the sum of its proper divisors (906461276133).

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

350800336656 is a wasteful number, since it uses less digits than its factorization.

350800336656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 350800336656 in words is "three hundred fifty billion, eight hundred million, three hundred thirty-six thousand, six hundred fifty-six".