365984352 has 96 divisors (see below), whose sum is σ = 1092389760. Its totient is φ = 119145600.

The previous prime is 365984329. The next prime is 365984363. The reversal of 365984352 is 253489563.

365984352 is a `hidden beast` number, since 3 + 6 + 598 + 4 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 365984298 and 365984307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32227 + ... + 42077.

It is an arithmetic number, because the mean of its divisors is an integer number (11379060).

Almost surely, 2^365984352 is an apocalyptic number.

365984352 is a gapful number since it is divisible by the number (32) 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 365984352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546194880).

365984352 is an abundant number, since it is smaller than the sum of its proper divisors (726405408).

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

365984352 is a wasteful number, since it uses less digits than its factorization.

365984352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9913 (or 9899 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 365984352 is about 19130.7174983062. The cubic root of 365984352 is about 715.2988152282.

The spelling of 365984352 in words is "three hundred sixty-five million, nine hundred eighty-four thousand, three hundred fifty-two".