312943680 has 504 divisors, whose sum is σ = 1328513472. Its totient is φ = 66189312.

The previous prime is 312943663. The next prime is 312943691. The reversal of 312943680 is 86349213.

312943680 is a `hidden beast` number, since 3 + 1 + 294 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7277739 + ... + 7277781.

Almost surely, 2^312943680 is an apocalyptic number.

312943680 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 312943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664256736).

312943680 is an abundant number, since it is smaller than the sum of its proper divisors (1015569792).

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

312943680 is a wasteful number, since it uses less digits than its factorization.

312943680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 79 counting only the distinct ones).

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

The square root of 312943680 is about 17690.2142440390. The cubic root of 312943680 is about 678.9254076944.

The spelling of 312943680 in words is "three hundred twelve million, nine hundred forty-three thousand, six hundred eighty".