313790305920 has 256 divisors, whose sum is σ = 1231024193280. Its totient is φ = 66206269440.

The previous prime is 313790305909. The next prime is 313790305937. The reversal of 313790305920 is 29503097313.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723261 + ... + 1072700.

It is an arithmetic number, because the mean of its divisors is an integer number (4808688255).

Almost surely, 2^313790305920 is an apocalyptic number.

313790305920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313790305920 is an abundant number, since it is smaller than the sum of its proper divisors (917233887360).

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

313790305920 is a wasteful number, since it uses less digits than its factorization.

313790305920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796003 (or 1795991 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 42.

The spelling of 313790305920 in words is "three hundred thirteen billion, seven hundred ninety million, three hundred five thousand, nine hundred twenty".