313636520340 has 384 divisors, whose sum is σ = 1149524006400. Its totient is φ = 69989806080.

The previous prime is 313636520303. The next prime is 313636520357. The reversal of 313636520340 is 43025636313.

313636520340 is a `hidden beast` number, since 3 + 13 + 636 + 5 + 2 + 0 + 3 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 313636520295 and 313636520304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28797616 + ... + 28808504.

It is an arithmetic number, because the mean of its divisors is an integer number (2993552100).

Almost surely, 2^313636520340 is an apocalyptic number.

313636520340 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 313636520340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574762003200).

313636520340 is an abundant number, since it is smaller than the sum of its proper divisors (835887486060).

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

313636520340 is a wasteful number, since it uses less digits than its factorization.

313636520340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11304 (or 11296 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 313636520340 in words is "three hundred thirteen billion, six hundred thirty-six million, five hundred twenty thousand, three hundred forty".