3675168960 has 112 divisors (see below), whose sum is σ = 11728496736. Its totient is φ = 975020032.

The previous prime is 3675168929. The next prime is 3675168971. The reversal of 3675168960 is 698615763.

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 15 ways as a sum of consecutive naturals, for example, 179404 + ... + 198836.

Almost surely, 2^3675168960 is an apocalyptic number.

3675168960 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 3675168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5864248368).

3675168960 is an abundant number, since it is smaller than the sum of its proper divisors (8053327776).

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

3675168960 is a wasteful number, since it uses less digits than its factorization.

3675168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19650 (or 19640 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 3675168960 is about 60623.1718074863. The cubic root of 3675168960 is about 1543.2126333505.

The spelling of 3675168960 in words is "three billion, six hundred seventy-five million, one hundred sixty-eight thousand, nine hundred sixty".