3638541672 has 96 divisors (see below), whose sum is σ = 10614689280. Its totient is φ = 1122675840.

The previous prime is 3638541661. The next prime is 3638541689. The reversal of 3638541672 is 2761458363.

3638541672 is a `hidden beast` number, since 3 + 6 + 38 + 541 + 6 + 72 = 666.

It is an alternating number because its digits alternate between odd and even.

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, 15898 + ... + 86774.

It is an arithmetic number, because the mean of its divisors is an integer number (110569680).

Almost surely, 2^3638541672 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 3638541672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307344640).

3638541672 is an abundant number, since it is smaller than the sum of its proper divisors (6976147608).

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

3638541672 is a wasteful number, since it uses less digits than its factorization.

3638541672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70943 (or 70936 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 3638541672 is about 60320.3255296256. The cubic root of 3638541672 is about 1538.0688775709.

The spelling of 3638541672 in words is "three billion, six hundred thirty-eight million, five hundred forty-one thousand, six hundred seventy-two".