3630880 has 48 divisors (see below), whose sum is σ = 9362304. Its totient is φ = 1319680.

The previous prime is 3630859. The next prime is 3630883. The reversal of 3630880 is 880363.

3630880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3630883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 729 + ... + 2791.

It is an arithmetic number, because the mean of its divisors is an integer number (195048).

Almost surely, 2^3630880 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 3630880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4681152).

3630880 is an abundant number, since it is smaller than the sum of its proper divisors (5731424).

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

3630880 is a wasteful number, since it uses less digits than its factorization.

3630880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 3630880 is about 1905.4868144388. The cubic root of 3630880 is about 153.6988549121.

The spelling of 3630880 in words is "three million, six hundred thirty thousand, eight hundred eighty".