3638795440 has 120 divisors (see below), whose sum is σ = 9814505760. Its totient is φ = 1229061120.

The previous prime is 3638795429. The next prime is 3638795453. The reversal of 3638795440 is 445978363.

3638795440 is digitally balanced in base 2, 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 23 ways as a sum of consecutive naturals, for example, 2822316 + ... + 2823604.

It is an arithmetic number, because the mean of its divisors is an integer number (81787548).

Almost surely, 2^3638795440 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 3638795440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907252880).

3638795440 is an abundant number, since it is smaller than the sum of its proper divisors (6175710320).

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

3638795440 is a wasteful number, since it uses less digits than its factorization.

3638795440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

The square root of 3638795440 is about 60322.4289961868. The cubic root of 3638795440 is about 1538.1046339832.

The spelling of 3638795440 in words is "three billion, six hundred thirty-eight million, seven hundred ninety-five thousand, four hundred forty".