310379821920 has 1536 divisors, whose sum is σ = 1358622720000. Its totient is φ = 66003517440.

The previous prime is 310379821903. The next prime is 310379821931. The reversal of 310379821920 is 29128973013.

310379821920 is a `hidden beast` number, since 3 + 10 + 379 + 82 + 192 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 1332102124 + ... + 1332102356.

It is an arithmetic number, because the mean of its divisors is an integer number (884520000).

Almost surely, 2^310379821920 is an apocalyptic number.

310379821920 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 310379821920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679311360000).

310379821920 is an abundant number, since it is smaller than the sum of its proper divisors (1048242898080).

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

310379821920 is a wasteful number, since it uses less digits than its factorization.

310379821920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 310379821920 in words is "three hundred ten billion, three hundred seventy-nine million, eight hundred twenty-one thousand, nine hundred twenty".