368903808 has 640 divisors, whose sum is σ = 1492888320. Its totient is φ = 87588864.

The previous prime is 368903789. The next prime is 368903839. The reversal of 368903808 is 808309863.

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 79 ways as a sum of consecutive naturals, for example, 16039285 + ... + 16039307.

It is an arithmetic number, because the mean of its divisors is an integer number (2332638).

Almost surely, 2^368903808 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 368903808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746444160).

368903808 is an abundant number, since it is smaller than the sum of its proper divisors (1123984512).

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

368903808 is a wasteful number, since it uses less digits than its factorization.

368903808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 368903808 is about 19206.8687713536. The cubic root of 368903808 is about 717.1957589463.

The spelling of 368903808 in words is "three hundred sixty-eight million, nine hundred three thousand, eight hundred eight".