313636352 has 40 divisors (see below), whose sum is σ = 628645776. Its totient is φ = 156321792.

The previous prime is 313636327. The next prime is 313636357. The reversal of 313636352 is 253636313.

It is a super-3 number, since 3×313636352³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313636357) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 202493 + ... + 204035.

Almost surely, 2^313636352 is an apocalyptic number.

313636352 is a gapful number since it is divisible by the number (32) 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 313636352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314322888).

313636352 is an abundant number, since it is smaller than the sum of its proper divisors (315009424).

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

313636352 is an equidigital number, since it uses as much as digits as its factorization.

313636352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1942 counting only the distinct ones).

The product of its digits is 29160, while the sum is 32.

The square root of 313636352 is about 17709.7812521781. The cubic root of 313636352 is about 679.4259515171.

The spelling of 313636352 in words is "three hundred thirteen million, six hundred thirty-six thousand, three hundred fifty-two".