312724368 has 80 divisors (see below), whose sum is σ = 979252800. Its totient is φ = 94763520.

The previous prime is 312724361. The next prime is 312724387. The reversal of 312724368 is 863427213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (312724361) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28153 + ... + 37656.

It is an arithmetic number, because the mean of its divisors is an integer number (12240660).

Almost surely, 2^312724368 is an apocalyptic number.

It is an amenable number.

312724368 is an abundant number, since it is smaller than the sum of its proper divisors (666528432).

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

312724368 is a wasteful number, since it uses less digits than its factorization.

312724368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65837 (or 65825 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 312724368 is about 17684.0144763569. The cubic root of 312724368 is about 678.7667728830.

It can be divided in two parts, 3127 and 24368, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 312724368 in words is "three hundred twelve million, seven hundred twenty-four thousand, three hundred sixty-eight".