315713376 has 144 divisors (see below), whose sum is σ = 1015979328. Its totient is φ = 95644800.

The previous prime is 315713371. The next prime is 315713381. The reversal of 315713376 is 673317513.

It is a happy number.

315713376 is a `hidden beast` number, since 315 + 7 + 1 + 337 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (315713371) and next prime (315713381).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 315713376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315713371) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 83691 + ... + 87381.

It is an arithmetic number, because the mean of its divisors is an integer number (7055412).

Almost surely, 2^315713376 is an apocalyptic number.

315713376 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 315713376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507989664).

315713376 is an abundant number, since it is smaller than the sum of its proper divisors (700265952).

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

315713376 is a wasteful number, since it uses less digits than its factorization.

315713376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727 (or 3707 counting only the distinct ones).

The product of its digits is 39690, while the sum is 36.

The square root of 315713376 is about 17768.3250758196. The cubic root of 315713376 is about 680.9224620136.

The spelling of 315713376 in words is "three hundred fifteen million, seven hundred thirteen thousand, three hundred seventy-six".