3638736 has 40 divisors (see below), whose sum is σ = 10445760. Its totient is φ = 1212768.

The previous prime is 3638699. The next prime is 3638753. The reversal of 3638736 is 6378363.

3638736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3638736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3780 + ... + 4643.

It is an arithmetic number, because the mean of its divisors is an integer number (261144).

Almost surely, 2^3638736 is an apocalyptic number.

3638736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3638736 is an abundant number, since it is smaller than the sum of its proper divisors (6807024).

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

3638736 is a wasteful number, since it uses less digits than its factorization.

3638736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8440 (or 8428 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3638736 is about 1907.5471160629. The cubic root of 3638736 is about 153.8096258919.

The spelling of 3638736 in words is "three million, six hundred thirty-eight thousand, seven hundred thirty-six".