312938604 has 72 divisors (see below), whose sum is σ = 864933888. Its totient is φ = 94612320.

The previous prime is 312938603. The next prime is 312938611. The reversal of 312938604 is 406839213.

312938604 is a `hidden beast` number, since 3 + 12 + 9 + 38 + 604 = 666.

312938604 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (312938603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287349 + ... + 288435.

Almost surely, 2^312938604 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 312938604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432466944).

312938604 is an abundant number, since it is smaller than the sum of its proper divisors (551995284).

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

312938604 is a wasteful number, since it uses less digits than its factorization.

312938604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 312938604 is about 17690.0707743073. The cubic root of 312938604 is about 678.9217369125.

The spelling of 312938604 in words is "three hundred twelve million, nine hundred thirty-eight thousand, six hundred four".