368695152 has 480 divisors, whose sum is σ = 1386577920. Its totient is φ = 92378880.

The previous prime is 368695141. The next prime is 368695169. The reversal of 368695152 is 251596863.

It is a super-2 number, since 2×368695152² = 271872230216606208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 368695098 and 368695107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11893377 + ... + 11893407.

It is an arithmetic number, because the mean of its divisors is an integer number (2888704).

Almost surely, 2^368695152 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 368695152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693288960).

368695152 is an abundant number, since it is smaller than the sum of its proper divisors (1017882768).

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

368695152 is a wasteful number, since it uses less digits than its factorization.

368695152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 85 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 368695152 is about 19201.4361962849. The cubic root of 368695152 is about 717.0605155414.

The spelling of 368695152 in words is "three hundred sixty-eight million, six hundred ninety-five thousand, one hundred fifty-two".