3631360 has 36 divisors (see below), whose sum is σ = 8701308. Its totient is φ = 1452032.

The previous prime is 3631349. The next prime is 3631379. The reversal of 3631360 is 631363.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 589824 + 3041536 = 768^2 + 1744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 139 + ... + 2698.

It is an arithmetic number, because the mean of its divisors is an integer number (241703).

Almost surely, 2^3631360 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 3631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350654).

3631360 is an abundant number, since it is smaller than the sum of its proper divisors (5069948).

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

3631360 is an equidigital number, since it uses as much as digits as its factorization.

3631360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2844 counting only the distinct ones).

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

The square root of 3631360 is about 1905.6127623418. The cubic root of 3631360 is about 153.7056275769.

The spelling of 3631360 in words is "three million, six hundred thirty-one thousand, three hundred sixty".