368976960 has 336 divisors, whose sum is σ = 1459748160. Its totient is φ = 84602880.

The previous prime is 368976929. The next prime is 368976977. The reversal of 368976960 is 69679863.

It is a happy number.

It is a super-2 number, since 2×368976960² = 272287994021683200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 368976897 and 368976906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 601614 + ... + 602226.

Almost surely, 2^368976960 is an apocalyptic number.

368976960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729874080).

368976960 is an abundant number, since it is smaller than the sum of its proper divisors (1090771200).

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

368976960 is a wasteful number, since it uses less digits than its factorization.

368976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 368976960 is about 19208.7729956913. The cubic root of 368976960 is about 717.2431613997.

The spelling of 368976960 in words is "three hundred sixty-eight million, nine hundred seventy-six thousand, nine hundred sixty".