3838705355056 has 80 divisors (see below), whose sum is σ = 8741015851680. Its totient is φ = 1610044047360.

The previous prime is 3838705354997. The next prime is 3838705355063. The reversal of 3838705355056 is 6505535078383.

3838705355056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3838705355056² (a number of 26 digits) contains 22 as substring.

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, 5840466 + ... + 6464398.

It is an arithmetic number, because the mean of its divisors is an integer number (109262698146).

Almost surely, 2^{3838705355056} 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 3838705355056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370507925840).

3838705355056 is an abundant number, since it is smaller than the sum of its proper divisors (4902310496624).

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

3838705355056 is a wasteful number, since it uses less digits than its factorization.

3838705355056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626654 (or 626648 counting only the distinct ones).

The product of its (nonzero) digits is 45360000, while the sum is 58.

The spelling of 3838705355056 in words is "three trillion, eight hundred thirty-eight billion, seven hundred five million, three hundred fifty-five thousand, fifty-six".