390117664836 has 81 divisors (see below), whose sum is σ = 1011167621373. Its totient is φ = 126817565760.

The previous prime is 390117664799. The next prime is 390117664883. The reversal of 390117664836 is 638466711093.

It is a happy number.

The square root of 390117664836 is 624594.

It is a perfect power (a square), and thus also a powerful number.

390117664836 is a `hidden beast` number, since 3 + 90 + 1 + 1 + 76 + 6 + 483 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18798055236 + 371319609600 = 137106^2 + 609360^2 .

It is a super-3 number, since 3×390117664836³ (a number of 36 digits) contains 333 as substring.

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 26 ways as a sum of consecutive naturals, for example, 153648855 + ... + 153651393.

Almost surely, 2^390117664836 is an apocalyptic number.

390117664836 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

390117664836 is the 624594-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390117664836

390117664836 is an abundant number, since it is smaller than the sum of its proper divisors (621049956537).

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

390117664836 is an equidigital number, since it uses as much as digits as its factorization.

390117664836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5170 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 390117664836 in words is "three hundred ninety billion, one hundred seventeen million, six hundred sixty-four thousand, eight hundred thirty-six".