3838337008100 has 36 divisors (see below), whose sum is σ = 9519075781824. Its totient is φ = 1316001259680.

The previous prime is 3838337008067. The next prime is 3838337008123. The reversal of 3838337008100 is 18007338383.

It is a super-2 number, since 2×3838337008100² (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 11 ways as a sum of consecutive naturals, for example, 2741668592 + ... + 2741669991.

Almost surely, 2^{3838337008100} is an apocalyptic number.

It is an amenable number.

3838337008100 is an abundant number, since it is smaller than the sum of its proper divisors (5680738773724).

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

3838337008100 is a wasteful number, since it uses less digits than its factorization.

3838337008100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5483338604 (or 5483338597 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 3838337008100 in words is "three trillion, eight hundred thirty-eight billion, three hundred thirty-seven million, eight thousand, one hundred".