312938640 has 200 divisors, whose sum is σ = 1242331200. Its totient is φ = 71518464.

The previous prime is 312938611. The next prime is 312938657. The reversal of 312938640 is 46839213.

312938640 is a `hidden beast` number, since 3 + 1 + 2 + 9 + 3 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 312938595 and 312938604.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41911 + ... + 48809.

It is an arithmetic number, because the mean of its divisors is an integer number (6211656).

Almost surely, 2^312938640 is an apocalyptic number.

312938640 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 312938640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621165600).

312938640 is an abundant number, since it is smaller than the sum of its proper divisors (929392560).

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

312938640 is a wasteful number, since it uses less digits than its factorization.

312938640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6931 (or 6916 counting only the distinct ones).

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

The square root of 312938640 is about 17690.0717918272. The cubic root of 312938640 is about 678.9217629466.

The spelling of 312938640 in words is "three hundred twelve million, nine hundred thirty-eight thousand, six hundred forty".