368038944 has 384 divisors, whose sum is σ = 1372815360. Its totient is φ = 93312000.

The previous prime is 368038903. The next prime is 368038961. The reversal of 368038944 is 449830863.

It is a self number, because there is not a number n which added to its sum of digits gives 368038944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2437269 + ... + 2437419.

It is an arithmetic number, because the mean of its divisors is an integer number (3575040).

Almost surely, 2^368038944 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 368038944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686407680).

368038944 is an abundant number, since it is smaller than the sum of its proper divisors (1004776416).

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

368038944 is a wasteful number, since it uses less digits than its factorization.

368038944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 368038944 is about 19184.3411145653. The cubic root of 368038944 is about 716.6348519739.

It can be divided in two parts, 3680 and 38944, that added together give a palindrome (42624).

The spelling of 368038944 in words is "three hundred sixty-eight million, thirty-eight thousand, nine hundred forty-four".