311304880320 has 336 divisors, whose sum is σ = 1135736786688. Its totient is φ = 70770309120.

The previous prime is 311304880301. The next prime is 311304880339. The reversal of 311304880320 is 23088403113.

It is an interprime number because it is at equal distance from previous prime (311304880301) and next prime (311304880339).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×311304880320² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383852715 + ... + 383853525.

It is an arithmetic number, because the mean of its divisors is an integer number (3380169008).

Almost surely, 2^311304880320 is an apocalyptic number.

311304880320 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 311304880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567868393344).

311304880320 is an abundant number, since it is smaller than the sum of its proper divisors (824431906368).

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

311304880320 is an equidigital number, since it uses as much as digits as its factorization.

311304880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 311304880320 in words is "three hundred eleven billion, three hundred four million, eight hundred eighty thousand, three hundred twenty".