3170428829568 has 4096 divisors, whose sum is σ = 14402794291200. Its totient is φ = 659305267200.

The previous prime is 3170428829509. The next prime is 3170428829573. The reversal of 3170428829568 is 8659288240713.

3170428829568 is a `hidden beast` number, since 3 + 1 + 7 + 0 + 4 + 288 + 295 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 67455932521 + ... + 67455932567.

It is an arithmetic number, because the mean of its divisors is an integer number (3516307200).

It is a 1-persistent number, because it is pandigital, but 2⋅3170428829568 = 6340857659136 is not.

Almost surely, 2^{3170428829568} 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 3170428829568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7201397145600).

3170428829568 is an abundant number, since it is smaller than the sum of its proper divisors (11232365461632).

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

3170428829568 is a wasteful number, since it uses less digits than its factorization.

3170428829568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 3170428829568 in words is "three trillion, one hundred seventy billion, four hundred twenty-eight million, eight hundred twenty-nine thousand, five hundred sixty-eight".