313786368 has 228 divisors, whose sum is σ = 1090516960. Its totient is φ = 84934656.

The previous prime is 313786337. The next prime is 313786373. The reversal of 313786368 is 863687313.

313786368 is a `hidden beast` number, since 3 + 1 + 3 + 7 + 8 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (228).

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

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16515063 + ... + 16515081.

Almost surely, 2^313786368 is an apocalyptic number.

313786368 is a gapful number since it is divisible by the number (38) 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 313786368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545258480).

313786368 is an abundant number, since it is smaller than the sum of its proper divisors (776730592).

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

313786368 is an frugal number, since it uses more digits than its factorization.

313786368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 31 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 313786368 is about 17714.0161454143. The cubic root of 313786368 is about 679.5342600902.

The spelling of 313786368 in words is "three hundred thirteen million, seven hundred eighty-six thousand, three hundred sixty-eight".