3838985844736 has 768 divisors, whose sum is σ = 9883527413760. Its totient is φ = 1454948352000.

The previous prime is 3838985844613. The next prime is 3838985844737. The reversal of 3838985844736 is 6374485898383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3838985844737) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29305235391 + ... + 29305235521.

It is an arithmetic number, because the mean of its divisors is an integer number (12869176320).

Almost surely, 2^{3838985844736} 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 3838985844736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4941763706880).

3838985844736 is an abundant number, since it is smaller than the sum of its proper divisors (6044541569024).

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

3838985844736 is a wasteful number, since it uses less digits than its factorization.

3838985844736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 302 counting only the distinct ones).

The product of its digits is 3344302080, while the sum is 76.

The spelling of 3838985844736 in words is "three trillion, eight hundred thirty-eight billion, nine hundred eighty-five million, eight hundred forty-four thousand, seven hundred thirty-six".