3633160 has 32 divisors (see below), whose sum is σ = 8314200. Its totient is φ = 1428480.

The previous prime is 3633151. The next prime is 3633167. The reversal of 3633160 is 613363.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1340964 + 2292196 = 1158^2 + 1514^2 .

It is not an unprimeable number, because it can be changed into a prime (3633167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1696 + ... + 3184.

Almost surely, 2^3633160 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 3633160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157100).

3633160 is an abundant number, since it is smaller than the sum of its proper divisors (4681040).

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

3633160 is a wasteful number, since it uses less digits than its factorization.

3633160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

The square root of 3633160 is about 1906.0849928584. The cubic root of 3633160 is about 153.7310197558.

The spelling of 3633160 in words is "three million, six hundred thirty-three thousand, one hundred sixty".