365938560 has 384 divisors, whose sum is σ = 1419032160. Its totient is φ = 89579520.

The previous prime is 365938519. The next prime is 365938589. The reversal of 365938560 is 65839563.

365938560 is a `hidden beast` number, since 3 + 6 + 59 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×365938560² = 267822059389747200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2021670 + ... + 2021850.

Almost surely, 2^365938560 is an apocalyptic number.

365938560 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 365938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709516080).

365938560 is an abundant number, since it is smaller than the sum of its proper divisors (1053093600).

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

365938560 is a wasteful number, since it uses less digits than its factorization.

365938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 365938560 is about 19129.5206421907. The cubic root of 365938560 is about 715.2689812300.

The spelling of 365938560 in words is "three hundred sixty-five million, nine hundred thirty-eight thousand, five hundred sixty".