3638656 has 64 divisors (see below), whose sum is σ = 8616960. Its totient is φ = 1497600.

The previous prime is 3638653. The next prime is 3638699. The reversal of 3638656 is 6568363.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3638651) 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, 27711 + ... + 27841.

It is an arithmetic number, because the mean of its divisors is an integer number (134640).

Almost surely, 2^3638656 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 3638656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4308480).

3638656 is an abundant number, since it is smaller than the sum of its proper divisors (4978304).

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

3638656 is a wasteful number, since it uses less digits than its factorization.

3638656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 171 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The square root of 3638656 is about 1907.5261466098. The cubic root of 3638656 is about 153.8084986818.

The spelling of 3638656 in words is "three million, six hundred thirty-eight thousand, six hundred fifty-six".