3169172160 has 672 divisors, whose sum is σ = 14059229184. Its totient is φ = 635904000.

The previous prime is 3169172131. The next prime is 3169172189. The reversal of 3169172160 is 612719613.

It is an interprime number because it is at equal distance from previous prime (3169172131) and next prime (3169172189).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6874330 + ... + 6874790.

It is an arithmetic number, because the mean of its divisors is an integer number (20921472).

Almost surely, 2^3169172160 is an apocalyptic number.

3169172160 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 3169172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7029614592).

3169172160 is an abundant number, since it is smaller than the sum of its proper divisors (10890057024).

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

3169172160 is a wasteful number, since it uses less digits than its factorization.

3169172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 3169172160 is about 56295.4008778692. The cubic root of 3169172160 is about 1468.8652077790.

The spelling of 3169172160 in words is "three billion, one hundred sixty-nine million, one hundred seventy-two thousand, one hundred sixty".