3173105664 has 180 divisors, whose sum is σ = 9517896024. Its totient is φ = 1056374784.

The previous prime is 3173105647. The next prime is 3173105669. The reversal of 3173105664 is 4665013713.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3173105669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3980914 + ... + 3981710.

Almost surely, 2^3173105664 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 3173105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758948012).

3173105664 is an abundant number, since it is smaller than the sum of its proper divisors (6344790360).

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

3173105664 is an frugal number, since it uses more digits than its factorization.

3173105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3173105664 is about 56330.3263260564. The cubic root of 3173105664 is about 1469.4726638281.

The spelling of 3173105664 in words is "three billion, one hundred seventy-three million, one hundred five thousand, six hundred sixty-four".