364411152 has 120 divisors (see below), whose sum is σ = 1177869056. Its totient is φ = 103016448.

The previous prime is 364411097. The next prime is 364411171. The reversal of 364411152 is 251114463.

It is a happy number.

364411152 is a `hidden beast` number, since 3 + 644 + 1 + 1 + 15 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 95913 + ... + 99639.

Almost surely, 2^364411152 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 364411152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588934528).

364411152 is an abundant number, since it is smaller than the sum of its proper divisors (813457904).

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

364411152 is a wasteful number, since it uses less digits than its factorization.

364411152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845 (or 3836 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 364411152 is about 19089.5560975105. The cubic root of 364411152 is about 714.2724285834.

The spelling of 364411152 in words is "three hundred sixty-four million, four hundred eleven thousand, one hundred fifty-two".