390616704 has 96 divisors (see below), whose sum is σ = 1130070240. Its totient is φ = 129507840.

The previous prime is 390616691. The next prime is 390616727. The reversal of 390616704 is 407616093.

390616704 is a `hidden beast` number, since 39 + 0 + 616 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242269 + ... + 243875.

It is an arithmetic number, because the mean of its divisors is an integer number (11771565).

Almost surely, 2^390616704 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 390616704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565035120).

390616704 is an abundant number, since it is smaller than the sum of its proper divisors (739453536).

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

390616704 is a wasteful number, since it uses less digits than its factorization.

390616704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 390616704 is about 19764.0255008943. The cubic root of 390616704 is about 730.9992595510. Note that the first 3 decimals are identical.

The spelling of 390616704 in words is "three hundred ninety million, six hundred sixteen thousand, seven hundred four".