368416944 has 160 divisors (see below), whose sum is σ = 1261347840. Its totient is φ = 100666368.

The previous prime is 368416931. The next prime is 368416969. The reversal of 368416944 is 449614863.

368416944 = 1432² + 1433² + ... + 1592².

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

It is a self number, because there is not a number n which added to its sum of digits gives 368416944.

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, 66904 + ... + 72200.

It is an arithmetic number, because the mean of its divisors is an integer number (7883424).

Almost surely, 2^368416944 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 368416944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630673920).

368416944 is an abundant number, since it is smaller than the sum of its proper divisors (892930896).

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

368416944 is a wasteful number, since it uses less digits than its factorization.

368416944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5344 (or 5332 counting only the distinct ones).

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

The square root of 368416944 is about 19194.1903710472. The cubic root of 368416944 is about 716.8801116051.

The spelling of 368416944 in words is "three hundred sixty-eight million, four hundred sixteen thousand, nine hundred forty-four".