364113360 has 160 divisors (see below), whose sum is σ = 1350746880. Its totient is φ = 89620992.

The previous prime is 364113349. The next prime is 364113377. The reversal of 364113360 is 63311463.

364113360 is a `hidden beast` number, since 3 + 641 + 13 + 3 + 6 + 0 = 666.

364113360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21597 + ... + 34563.

It is an arithmetic number, because the mean of its divisors is an integer number (8442168).

Almost surely, 2^364113360 is an apocalyptic number.

364113360 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 364113360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675373440).

364113360 is an abundant number, since it is smaller than the sum of its proper divisors (986633520).

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

364113360 is a wasteful number, since it uses less digits than its factorization.

364113360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13002 (or 12990 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 364113360 is about 19081.7546363011. The cubic root of 364113360 is about 714.0778108830.

The spelling of 364113360 in words is "three hundred sixty-four million, one hundred thirteen thousand, three hundred sixty".