3638812722432 has 72 divisors (see below), whose sum is σ = 9690396460416. Its totient is φ = 1212205142016.

The previous prime is 3638812722431. The next prime is 3638812722473. The reversal of 3638812722432 is 2342272188363.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3638812722431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157128 + ... + 2702279.

It is an arithmetic number, because the mean of its divisors is an integer number (134588839728).

Almost surely, 2^{3638812722432} is an apocalyptic number.

3638812722432 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 3638812722432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845198230208).

3638812722432 is an abundant number, since it is smaller than the sum of its proper divisors (6051583737984).

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

3638812722432 is a wasteful number, since it uses less digits than its factorization.

3638812722432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861083 (or 2861069 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The spelling of 3638812722432 in words is "three trillion, six hundred thirty-eight billion, eight hundred twelve million, seven hundred twenty-two thousand, four hundred thirty-two".