3630720 has 128 divisors (see below), whose sum is σ = 12142080. Its totient is φ = 921600.

The previous prime is 3630709. The next prime is 3630733. The reversal of 3630720 is 270363.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59490 + ... + 59550.

It is an arithmetic number, because the mean of its divisors is an integer number (94860).

Almost surely, 2^3630720 is an apocalyptic number.

3630720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071040).

3630720 is an abundant number, since it is smaller than the sum of its proper divisors (8511360).

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

3630720 is a wasteful number, since it uses less digits than its factorization.

3630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 3630720 is about 1905.4448299544. Note that the first 3 decimals coincide. The cubic root of 3630720 is about 153.6965972245.

The spelling of 3630720 in words is "three million, six hundred thirty thousand, seven hundred twenty".