390085632 has 110 divisors (see below), whose sum is σ = 1165119648. Its totient is φ = 130000896.

The previous prime is 390085627. The next prime is 390085669. The reversal of 390085632 is 236580093.

390085632 is a `hidden beast` number, since 3 + 90 + 0 + 8 + 563 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 80593 + ... + 85295.

Almost surely, 2^390085632 is an apocalyptic number.

390085632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582559824).

390085632 is an abundant number, since it is smaller than the sum of its proper divisors (775034016).

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

390085632 is an equidigital number, since it uses as much as digits as its factorization.

390085632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4735 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 390085632 is about 19750.5856115711. The cubic root of 390085632 is about 730.6678269705.

The spelling of 390085632 in words is "three hundred ninety million, eighty-five thousand, six hundred thirty-two".