3638712635712 has 448 divisors, whose sum is σ = 13364097914880. Its totient is φ = 943178342400.

The previous prime is 3638712635653. The next prime is 3638712635759. The reversal of 3638712635712 is 2175362178363.

3638712635712 is a `hidden beast` number, since 3 + 6 + 3 + 8 + 7 + 1 + 2 + 63 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65302648 + ... + 65358344.

Almost surely, 2^{3638712635712} is an apocalyptic number.

3638712635712 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 3638712635712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6682048957440).

3638712635712 is an abundant number, since it is smaller than the sum of its proper divisors (9725385279168).

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

3638712635712 is a wasteful number, since it uses less digits than its factorization.

3638712635712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56227 (or 56211 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 3638712635712 in words is "three trillion, six hundred thirty-eight billion, seven hundred twelve million, six hundred thirty-five thousand, seven hundred twelve".