3626624 has 32 divisors (see below), whose sum is σ = 7481700. Its totient is φ = 1748992.

The previous prime is 3626611. The next prime is 3626639. The reversal of 3626624 is 4266263.

It can be written as a sum of positive squares in 2 ways, for example, as 3356224 + 270400 = 1832^2 + 520^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 3224 + ... + 4200.

Almost surely, 2^3626624 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 3626624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740850).

3626624 is an abundant number, since it is smaller than the sum of its proper divisors (3855076).

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

3626624 is an equidigital number, since it uses as much as digits as its factorization.

3626624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1008 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

The square root of 3626624 is about 1904.3697120045. The cubic root of 3626624 is about 153.6387778251.

The spelling of 3626624 in words is "three million, six hundred twenty-six thousand, six hundred twenty-four".