3135679872128 has 256 divisors, whose sum is σ = 6823081267200. Its totient is φ = 1429766553600.

The previous prime is 3135679872097. The next prime is 3135679872131. The reversal of 3135679872128 is 8212789765313.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7142778533 + ... + 7142778971.

It is an arithmetic number, because the mean of its divisors is an integer number (26652661200).

Almost surely, 2^{3135679872128} 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 3135679872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411540633600).

3135679872128 is an abundant number, since it is smaller than the sum of its proper divisors (3687401395072).

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

3135679872128 is a wasteful number, since it uses less digits than its factorization.

3135679872128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1047 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 62.

The spelling of 3135679872128 in words is "three trillion, one hundred thirty-five billion, six hundred seventy-nine million, eight hundred seventy-two thousand, one hundred twenty-eight".