390180672 has 112 divisors (see below), whose sum is σ = 1310965120. Its totient is φ = 111476736.

The previous prime is 390180653. The next prime is 390180677. The reversal of 390180672 is 276081093.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390180677) by changing a digit.

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, 4033 + ... + 28224.

Almost surely, 2^390180672 is an apocalyptic number.

390180672 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 390180672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655482560).

390180672 is an abundant number, since it is smaller than the sum of its proper divisors (920784448).

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

390180672 is a wasteful number, since it uses less digits than its factorization.

390180672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32285 (or 32269 counting only the distinct ones).

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

The square root of 390180672 is about 19752.9914696483. The cubic root of 390180672 is about 730.7271618325.

The spelling of 390180672 in words is "three hundred ninety million, one hundred eighty thousand, six hundred seventy-two".