3623680 has 72 divisors (see below), whose sum is σ = 9198000. Its totient is φ = 1363968.

The previous prime is 3623671. The next prime is 3623681. The reversal of 3623680 is 863263.

It is not an unprimeable number, because it can be changed into a prime (3623681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24246 + ... + 24394.

It is an arithmetic number, because the mean of its divisors is an integer number (127750).

Almost surely, 2^3623680 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 3623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599000).

3623680 is an abundant number, since it is smaller than the sum of its proper divisors (5574320).

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

3623680 is a wasteful number, since it uses less digits than its factorization.

3623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 3623680 is about 1903.5965959205. The cubic root of 3623680 is about 153.5971932357.

It can be divided in two parts, 36 and 23680, that added together give a square (23716 = 154²).

The spelling of 3623680 in words is "three million, six hundred twenty-three thousand, six hundred eighty".