368331264 has 240 divisors, whose sum is σ = 1280959680. Its totient is φ = 99532800.

The previous prime is 368331253. The next prime is 368331311. The reversal of 368331264 is 462133863.

368331264 is a `hidden beast` number, since 3 + 68 + 331 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612564 + ... + 613164.

It is an arithmetic number, because the mean of its divisors is an integer number (5337332).

Almost surely, 2^368331264 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 368331264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640479840).

368331264 is an abundant number, since it is smaller than the sum of its proper divisors (912628416).

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

368331264 is a wasteful number, since it uses less digits than its factorization.

368331264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 632 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 368331264 is about 19191.9583159197. The cubic root of 368331264 is about 716.8245341305.

The spelling of 368331264 in words is "three hundred sixty-eight million, three hundred thirty-one thousand, two hundred sixty-four".