3638144 has 32 divisors (see below), whose sum is σ = 7427640. Its totient is φ = 1774080.

The previous prime is 3638113. The next prime is 3638147. The reversal of 3638144 is 4418363.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3638147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5174 + ... + 5834.

Almost surely, 2^3638144 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 3638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713820).

3638144 is an abundant number, since it is smaller than the sum of its proper divisors (3789496).

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

3638144 is an equidigital number, since it uses as much as digits as its factorization.

3638144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 706 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 3638144 is about 1907.3919366507. The cubic root of 3638144 is about 153.8012841457.

The spelling of 3638144 in words is "three million, six hundred thirty-eight thousand, one hundred forty-four".