368793360 has 360 divisors, whose sum is σ = 1411831512. Its totient is φ = 85708800.

The previous prime is 368793343. The next prime is 368793371. The reversal of 368793360 is 63397863.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8856576 + 359936784 = 2976^2 + 18972^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8994940 + ... + 8994980.

Almost surely, 2^368793360 is an apocalyptic number.

368793360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368793360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705915756).

368793360 is an abundant number, since it is smaller than the sum of its proper divisors (1043038152).

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

368793360 is a wasteful number, since it uses less digits than its factorization.

368793360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 368793360 is about 19203.9933347208. The cubic root of 368793360 is about 717.1241768318.

The spelling of 368793360 in words is "three hundred sixty-eight million, seven hundred ninety-three thousand, three hundred sixty".