3628160 has 32 divisors (see below), whose sum is σ = 8675100. Its totient is φ = 1451008.

The previous prime is 3628153. The next prime is 3628169. The reversal of 3628160 is 618263.

It can be written as a sum of positive squares in 2 ways, for example, as 3474496 + 153664 = 1864^2 + 392^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (3628169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2195 + ... + 3474.

Almost surely, 2^3628160 is an apocalyptic number.

It is an amenable number.

3628160 is an abundant number, since it is smaller than the sum of its proper divisors (5046940).

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

3628160 is an equidigital number, since it uses as much as digits as its factorization.

3628160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5688 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 3628160 is about 1904.7729523489. The cubic root of 3628160 is about 153.6604651992.

The spelling of 3628160 in words is "three million, six hundred twenty-eight thousand, one hundred sixty".