3838261155600 has 120 divisors (see below), whose sum is σ = 12297697000192. Its totient is φ = 1023330931200.

The previous prime is 3838261155581. The next prime is 3838261155611. The reversal of 3838261155600 is 65511628383.

3838261155600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3838261155600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3838261155600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5709210 + ... + 6345990.

Almost surely, 2^{3838261155600} is an apocalyptic number.

3838261155600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3838261155600 is an abundant number, since it is smaller than the sum of its proper divisors (8459435844592).

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

3838261155600 is a wasteful number, since it uses less digits than its factorization.

3838261155600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641825 (or 641814 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 3838261155600 in words is "three trillion, eight hundred thirty-eight billion, two hundred sixty-one million, one hundred fifty-five thousand, six hundred".