3668160 has 56 divisors (see below), whose sum is σ = 11649456. Its totient is φ = 977920.

The previous prime is 3668129. The next prime is 3668179. The reversal of 3668160 is 618663.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 951 + ... + 2870.

It is an arithmetic number, because the mean of its divisors is an integer number (208026).

Almost surely, 2^3668160 is an apocalyptic number.

3668160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3668160 is an abundant number, since it is smaller than the sum of its proper divisors (7981296).

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

3668160 is a wasteful number, since it uses less digits than its factorization.

3668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3841 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3668160 is about 1915.2441097677. The cubic root of 3668160 is about 154.2230982438.

It can be divided in two parts, 3668 and 160, that added together give a triangular number (3828 = T₈₇).

The spelling of 3668160 in words is "three million, six hundred sixty-eight thousand, one hundred sixty".