312396037776 has 135 divisors (see below), whose sum is σ = 894174691683. Its totient is φ = 101813595840.

The previous prime is 312396037769. The next prime is 312396037859. The reversal of 312396037776 is 677730693213.

The square root of 312396037776 is 558924.

It is a perfect power (a square), and thus also a powerful number.

312396037776 is a `hidden beast` number, since 3 + 1 + 23 + 9 + 603 + 7 + 7 + 7 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 315232641 + ... + 315233631.

Almost surely, 2^312396037776 is an apocalyptic number.

312396037776 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

312396037776 is the 558924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312396037776

312396037776 is an abundant number, since it is smaller than the sum of its proper divisors (581778653907).

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

312396037776 is an frugal number, since it uses more digits than its factorization.

312396037776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 6001128, while the sum is 54.

The spelling of 312396037776 in words is "three hundred twelve billion, three hundred ninety-six million, thirty-seven thousand, seven hundred seventy-six".