368756960 has 192 divisors, whose sum is σ = 1042481664. Its totient is φ = 121497600.

The previous prime is 368756957. The next prime is 368756977. The reversal of 368756960 is 69657863.

It is a junction number, because it is equal to n+sod(n) for n = 368756899 and 368756908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1624367 + ... + 1624593.

It is an arithmetic number, because the mean of its divisors is an integer number (5429592).

Almost surely, 2^368756960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368756960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521240832).

368756960 is an abundant number, since it is smaller than the sum of its proper divisors (673724704).

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

368756960 is a wasteful number, since it uses less digits than its factorization.

368756960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The square root of 368756960 is about 19203.0455917805. The cubic root of 368756960 is about 717.1005826083.

The spelling of 368756960 in words is "three hundred sixty-eight million, seven hundred fifty-six thousand, nine hundred sixty".