3638929011792 has 240 divisors, whose sum is σ = 10264362324480. Its totient is φ = 1107768026880.

The previous prime is 3638929011791. The next prime is 3638929011793. The reversal of 3638929011792 is 2971109298363.

It is an interprime number because it is at equal distance from previous prime (3638929011791) and next prime (3638929011793).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3638929011791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230493723 + ... + 230509509.

It is an arithmetic number, because the mean of its divisors is an integer number (42768176352).

Almost surely, 2^{3638929011792} 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 3638929011792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5132181162240).

3638929011792 is an abundant number, since it is smaller than the sum of its proper divisors (6625433312688).

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

3638929011792 is a wasteful number, since it uses less digits than its factorization.

3638929011792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16142 (or 16105 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 60.

The spelling of 3638929011792 in words is "three trillion, six hundred thirty-eight billion, nine hundred twenty-nine million, eleven thousand, seven hundred ninety-two".