3838119828544 has 21 divisors (see below), whose sum is σ = 7616300135797. Its totient is φ = 1919052077824.

The previous prime is 3838119828539. The next prime is 3838119828563. The reversal of 3838119828544 is 4458289118383.

The square root of 3838119828544 is 1959112.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 123403258944 + 3714716569600 = 351288^2 + 1927360^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 15550452 + ... + 15795340.

Almost surely, 2^{3838119828544} is an apocalyptic number.

3838119828544 is the 1959112-nd square number.

It is an amenable number.

3838119828544 is a deficient number, since it is larger than the sum of its proper divisors (3778180307253).

3838119828544 is an frugal number, since it uses more digits than its factorization.

3838119828544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489790 (or 244891 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 64.

Multiplying 3838119828544 by its sum of digits (64), we get a square (245639669026816 = 15672896²).

3838119828544 divided by its sum of digits (64) gives a square (59970622321 = 244889²).

The spelling of 3838119828544 in words is "three trillion, eight hundred thirty-eight billion, one hundred nineteen million, eight hundred twenty-eight thousand, five hundred forty-four".