313479936 has 576 divisors, whose sum is σ = 1255833600. Its totient is φ = 74649600.

The previous prime is 313479931. The next prime is 313479977. The reversal of 313479936 is 639974313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 313479891 and 313479900.

It is not an unprimeable number, because it can be changed into a prime (313479931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10112241 + ... + 10112271.

Almost surely, 2^313479936 is an apocalyptic number.

313479936 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 313479936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627916800).

313479936 is an abundant number, since it is smaller than the sum of its proper divisors (942353664).

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

313479936 is a wasteful number, since it uses less digits than its factorization.

313479936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 313479936 is about 17705.3646107613. The cubic root of 313479936 is about 679.3129854865.

It can be divided in two parts, 313 and 479936, that added together give a square (480249 = 693²).

The spelling of 313479936 in words is "three hundred thirteen million, four hundred seventy-nine thousand, nine hundred thirty-six".