315434953728 has 440 divisors, whose sum is σ = 987387382784. Its totient is φ = 100179763200.

The previous prime is 315434953723. The next prime is 315434953741. The reversal of 315434953728 is 827359434513.

315434953728 is a `hidden beast` number, since 3 + 1 + 5 + 43 + 49 + 537 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (315434953723) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 172273773 + ... + 172275603.

Almost surely, 2^315434953728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315434953728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493693691392).

315434953728 is an abundant number, since it is smaller than the sum of its proper divisors (671952429056).

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

315434953728 is a wasteful number, since it uses less digits than its factorization.

315434953728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1934 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 315434953728 in words is "three hundred fifteen billion, four hundred thirty-four million, nine hundred fifty-three thousand, seven hundred twenty-eight".