3630080 has 44 divisors (see below), whose sum is σ = 8720220. Its totient is φ = 1449984.

The previous prime is 3630047. The next prime is 3630097. The reversal of 3630080 is 800363.

It can be written as a sum of positive squares in 2 ways, for example, as 861184 + 2768896 = 928^2 + 1664^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 4766 + ... + 5474.

Almost surely, 2^3630080 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 3630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360110).

3630080 is an abundant number, since it is smaller than the sum of its proper divisors (5090140).

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

3630080 is an equidigital number, since it uses as much as digits as its factorization.

3630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3630080 is about 1905.2768827653. The cubic root of 3630080 is about 153.6875658109.

The spelling of 3630080 in words is "three million, six hundred thirty thousand, eighty".