3641160 has 64 divisors (see below), whose sum is σ = 11505600. Its totient is φ = 919296.

The previous prime is 3641159. The next prime is 3641171. The reversal of 3641160 is 611463.

It is a super-2 number, since 2×3641160² = 26516092291200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1482 + ... + 3078.

It is an arithmetic number, because the mean of its divisors is an integer number (179775).

Almost surely, 2^3641160 is an apocalyptic number.

3641160 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 3641160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5752800).

3641160 is an abundant number, since it is smaller than the sum of its proper divisors (7864440).

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

3641160 is a wasteful number, since it uses less digits than its factorization.

3641160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3641160 is about 1908.1823812204. The cubic root of 3641160 is about 153.8437725272.

The spelling of 3641160 in words is "three million, six hundred forty-one thousand, one hundred sixty".