313735680 has 400 divisors, whose sum is σ = 1203170760. Its totient is φ = 77856768.

The previous prime is 313735661. The next prime is 313735703. The reversal of 313735680 is 86537313.

It can be written as a sum of positive squares in 4 ways, for example, as 246364416 + 67371264 = 15696^2 + 8208^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3525076 + ... + 3525164.

Almost surely, 2^313735680 is an apocalyptic number.

313735680 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 313735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601585380).

313735680 is an abundant number, since it is smaller than the sum of its proper divisors (889435080).

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

313735680 is an equidigital number, since it uses as much as digits as its factorization.

313735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 313735680 is about 17712.5853561811. The cubic root of 313735680 is about 679.4976682229.

The spelling of 313735680 in words is "three hundred thirteen million, seven hundred thirty-five thousand, six hundred eighty".