38849082913200 has 960 divisors, whose sum is σ = 148697482752000. Its totient is φ = 8663232614400.

The previous prime is 38849082913181. The next prime is 38849082913211. The reversal of 38849082913200 is 231928094883.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3948473881 + ... + 3948483719.

It is an arithmetic number, because the mean of its divisors is an integer number (154893211200).

Almost surely, 2^{38849082913200} is an apocalyptic number.

38849082913200 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 38849082913200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74348741376000).

38849082913200 is an abundant number, since it is smaller than the sum of its proper divisors (109848399838800).

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

38849082913200 is a wasteful number, since it uses less digits than its factorization.

38849082913200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10115 (or 10090 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 38849082913200 in words is "thirty-eight trillion, eight hundred forty-nine billion, eighty-two million, nine hundred thirteen thousand, two hundred".