390318912 has 280 divisors, whose sum is σ = 1265749056. Its totient is φ = 118444032.

The previous prime is 390318911. The next prime is 390318937. The reversal of 390318912 is 219813093.

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 not an unprimeable number, because it can be changed into a prime (390318911) 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 39 ways as a sum of consecutive naturals, for example, 3789453 + ... + 3789555.

Almost surely, 2^390318912 is an apocalyptic number.

390318912 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 390318912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632874528).

390318912 is an abundant number, since it is smaller than the sum of its proper divisors (875430144).

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

390318912 is a wasteful number, since it uses less digits than its factorization.

390318912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 390318912 is about 19756.4903765826. The cubic root of 390318912 is about 730.8134498888.

The spelling of 390318912 in words is "three hundred ninety million, three hundred eighteen thousand, nine hundred twelve".