311724364 has 48 divisors (see below), whose sum is σ = 654151680. Its totient is φ = 127149120.

The previous prime is 311724349. The next prime is 311724373. The reversal of 311724364 is 463427113.

311724364 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×311724364² = 194344158222408992, which contains 22 as substring.

311724364 is strictly pandigital in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54949 + ... + 60355.

It is an arithmetic number, because the mean of its divisors is an integer number (13628160).

Almost surely, 2^311724364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311724364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327075840).

311724364 is an abundant number, since it is smaller than the sum of its proper divisors (342427316).

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

311724364 is a wasteful number, since it uses less digits than its factorization.

311724364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5518 (or 5516 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The square root of 311724364 is about 17655.7176008227. The cubic root of 311724364 is about 678.0424989965.

The spelling of 311724364 in words is "three hundred eleven million, seven hundred twenty-four thousand, three hundred sixty-four".