3638051712 has 128 divisors (see below), whose sum is σ = 10913959200. Its totient is φ = 1192734720.

The previous prime is 3638051701. The next prime is 3638051759. The reversal of 3638051712 is 2171508363.

3638051712 is a `hidden beast` number, since 3 + 63 + 80 + 517 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3638051712² = 26470840518372261888, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202188 + ... + 219444.

Almost surely, 2^3638051712 is an apocalyptic number.

3638051712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3638051712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5456979600).

3638051712 is an abundant number, since it is smaller than the sum of its proper divisors (7275907488).

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

3638051712 is a wasteful number, since it uses less digits than its factorization.

3638051712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17341 (or 17323 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3638051712 is about 60316.2640752890. The cubic root of 3638051712 is about 1537.9998365353. Note that the first 3 decimals are identical.

The spelling of 3638051712 in words is "three billion, six hundred thirty-eight million, fifty-one thousand, seven hundred twelve".