306390367920 has 320 divisors, whose sum is σ = 1172394961920. Its totient is φ = 64457109504.

The previous prime is 306390367879. The next prime is 306390367993. The reversal of 306390367920 is 29763093603.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 306390367920.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7558266 + ... + 7598694.

It is an arithmetic number, because the mean of its divisors is an integer number (3663734256).

Almost surely, 2^306390367920 is an apocalyptic number.

306390367920 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 306390367920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586197480960).

306390367920 is an abundant number, since it is smaller than the sum of its proper divisors (866004594000).

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

306390367920 is a wasteful number, since it uses less digits than its factorization.

306390367920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40812 (or 40806 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 48.

The spelling of 306390367920 in words is "three hundred six billion, three hundred ninety million, three hundred sixty-seven thousand, nine hundred twenty".