364120008 has 64 divisors (see below), whose sum is σ = 1101548160. Its totient is φ = 97913856.

The previous prime is 364119961. The next prime is 364120019. The reversal of 364120008 is 800021463.

It is a happy number.

364120008 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 364120008.

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, 60891 + ... + 66602.

It is an arithmetic number, because the mean of its divisors is an integer number (17211690).

Almost surely, 2^364120008 is an apocalyptic number.

It is an amenable number.

364120008 is an abundant number, since it is smaller than the sum of its proper divisors (737428152).

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

364120008 is a wasteful number, since it uses less digits than its factorization.

364120008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127526 (or 127522 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 364120008 is about 19081.9288333229. The cubic root of 364120008 is about 714.0821567460.

The spelling of 364120008 in words is "three hundred sixty-four million, one hundred twenty thousand, eight".