312648336 has 400 divisors, whose sum is σ = 1220005248. Its totient is φ = 74649600.

The previous prime is 312648319. The next prime is 312648341. The reversal of 312648336 is 633846213.

312648336 is a `hidden beast` number, since 3 + 1 + 2 + 648 + 3 + 3 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 312648336.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1297176 + ... + 1297416.

Almost surely, 2^312648336 is an apocalyptic number.

312648336 is a gapful number since it is divisible by the number (36) 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 312648336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610002624).

312648336 is an abundant number, since it is smaller than the sum of its proper divisors (907356912).

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

312648336 is a wasteful number, since it uses less digits than its factorization.

312648336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 277 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 312648336 is about 17681.8646075577. The cubic root of 312648336 is about 678.7117593913.

The spelling of 312648336 in words is "three hundred twelve million, six hundred forty-eight thousand, three hundred thirty-six".