390810672 has 180 divisors, whose sum is σ = 1287662376. Its totient is φ = 110315520.

The previous prime is 390810653. The next prime is 390810697. The reversal of 390810672 is 276018093.

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

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 35 ways as a sum of consecutive naturals, for example, 684147 + ... + 684717.

Almost surely, 2^390810672 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 390810672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643831188).

390810672 is an abundant number, since it is smaller than the sum of its proper divisors (896851704).

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

390810672 is a wasteful number, since it uses less digits than its factorization.

390810672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 390810672 is about 19768.9319893615. The cubic root of 390810672 is about 731.1202366280.

The spelling of 390810672 in words is "three hundred ninety million, eight hundred ten thousand, six hundred seventy-two".