364374045 has 160 divisors (see below), whose sum is σ = 792211200. Its totient is φ = 160030080.

The previous prime is 364374019. The next prime is 364374047. The reversal of 364374045 is 540473463.

It is a happy number.

364374045 is a `hidden beast` number, since 3 + 643 + 7 + 4 + 0 + 4 + 5 = 666.

It is not a de Polignac number, because 364374045 - 2⁹ = 364373533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364374047) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 5973315 + ... + 5973375.

It is an arithmetic number, because the mean of its divisors is an integer number (4951320).

Almost surely, 2^364374045 is an apocalyptic number.

364374045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

364374045 is an abundant number, since it is smaller than the sum of its proper divisors (427837155).

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

364374045 is an equidigital number, since it uses as much as digits as its factorization.

364374045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 364374045 is about 19088.5841538863. The cubic root of 364374045 is about 714.2481836185.

The spelling of 364374045 in words is "three hundred sixty-four million, three hundred seventy-four thousand, forty-five".