390136320 has 480 divisors, whose sum is σ = 1608647040. Its totient is φ = 85524480.

The previous prime is 390136289. The next prime is 390136381. The reversal of 390136320 is 23631093.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6612451 + ... + 6612509.

It is an arithmetic number, because the mean of its divisors is an integer number (3351348).

Almost surely, 2^390136320 is an apocalyptic number.

390136320 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 390136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804323520).

390136320 is an abundant number, since it is smaller than the sum of its proper divisors (1218510720).

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

390136320 is a wasteful number, since it uses less digits than its factorization.

390136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 390136320 is about 19751.8687723466. The cubic root of 390136320 is about 730.6994734294.

The spelling of 390136320 in words is "three hundred ninety million, one hundred thirty-six thousand, three hundred twenty".