3838121856000 has 1056 divisors, whose sum is σ = 14147884191168. Its totient is φ = 1000361164800.

The previous prime is 3838121855927. The next prime is 3838121856001. The reversal of 3838121856000 is 6581218383.

3838121856000 is a `hidden beast` number, since 3 + 8 + 3 + 81 + 2 + 1 + 8 + 560 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3838121856001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13099391854 + ... + 13099392146.

Almost surely, 2^{3838121856000} is an apocalyptic number.

3838121856000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3838121856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7073942095584).

3838121856000 is an abundant number, since it is smaller than the sum of its proper divisors (10309762335168).

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

3838121856000 is a wasteful number, since it uses less digits than its factorization.

3838121856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 3838121856000 in words is "three trillion, eight hundred thirty-eight billion, one hundred twenty-one million, eight hundred fifty-six thousand".