3638768 has 40 divisors (see below), whose sum is σ = 8222688. Its totient is φ = 1527552.

The previous prime is 3638759. The next prime is 3638771. The reversal of 3638768 is 8678363.

3638768 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5630 + ... + 6242.

Almost surely, 2^3638768 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 3638768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111344).

3638768 is an abundant number, since it is smaller than the sum of its proper divisors (4583920).

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

3638768 is a wasteful number, since it uses less digits than its factorization.

3638768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 675 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 3638768 is about 1907.5555037796. Note that the first 4 decimals coincide. The cubic root of 3638768 is about 153.8100767713.

The spelling of 3638768 in words is "three million, six hundred thirty-eight thousand, seven hundred sixty-eight".