3158688960 has 504 divisors, whose sum is σ = 13122280080. Its totient is φ = 721115136.

The previous prime is 3158688917. The next prime is 3158688971. The reversal of 3158688960 is 698868513.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 3158688897 and 3158688906.

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 71 ways as a sum of consecutive naturals, for example, 3809826 + ... + 3810654.

It is an arithmetic number, because the mean of its divisors is an integer number (26036270).

Almost surely, 2^3158688960 is an apocalyptic number.

3158688960 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 3158688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6561140040).

3158688960 is an abundant number, since it is smaller than the sum of its proper divisors (9963591120).

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

3158688960 is an equidigital number, since it uses as much as digits as its factorization.

3158688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 3158688960 is about 56202.2149029734. The cubic root of 3158688960 is about 1467.2438150969.

The spelling of 3158688960 in words is "three billion, one hundred fifty-eight million, six hundred eighty-eight thousand, nine hundred sixty".