390883993672320 has 768 divisors, whose sum is σ = 1399339672473600. Its totient is φ = 100472927772672.

The previous prime is 390883993672279. The next prime is 390883993672331. The reversal of 390883993672320 is 23276399388093.

390883993672320 is a `hidden beast` number, since 3 + 90 + 88 + 399 + 3 + 6 + 72 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54845512597 + ... + 54845519723.

It is an arithmetic number, because the mean of its divisors is an integer number (1822056865200).

Almost surely, 2^{390883993672320} is an apocalyptic number.

390883993672320 is a gapful number since it is divisible by the number (30) 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 390883993672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699669836236800).

390883993672320 is an abundant number, since it is smaller than the sum of its proper divisors (1008455678801280).

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

390883993672320 is a wasteful number, since it uses less digits than its factorization.

390883993672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10077 (or 10062 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 390883993672320 in words is "three hundred ninety trillion, eight hundred eighty-three billion, nine hundred ninety-three million, six hundred seventy-two thousand, three hundred twenty".