312696384 has 224 divisors, whose sum is σ = 1111520256. Its totient is φ = 74926080.

The previous prime is 312696383. The next prime is 312696409. The reversal of 312696384 is 483696213.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (312696383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191379 + ... + 193005.

It is an arithmetic number, because the mean of its divisors is an integer number (4962144).

Almost surely, 2^312696384 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 312696384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555760128).

312696384 is an abundant number, since it is smaller than the sum of its proper divisors (798823872).

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

312696384 is a wasteful number, since it uses less digits than its factorization.

312696384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1663 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 312696384 is about 17683.2232355982. The cubic root of 312696384 is about 678.7465258989.

It can be divided in two parts, 312 and 696384, that added together give a palindrome (696696).

The spelling of 312696384 in words is "three hundred twelve million, six hundred ninety-six thousand, three hundred eighty-four".