38889391844160 has 1344 divisors, whose sum is σ = 163238834304000. Its totient is φ = 8639417180160.

The previous prime is 38889391844117. The next prime is 38889391844161. The reversal of 38889391844160 is 6144819398883.

38889391844160 is a `hidden beast` number, since 3 + 8 + 8 + 8 + 93 + 91 + 8 + 441 + 6 + 0 = 666.

It is a super-2 number, since 2×38889391844160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38889391844161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2232575931 + ... + 2232593349.

It is an arithmetic number, because the mean of its divisors is an integer number (121457466000).

Almost surely, 2^{38889391844160} is an apocalyptic number.

38889391844160 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 38889391844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81619417152000).

38889391844160 is an abundant number, since it is smaller than the sum of its proper divisors (124349442459840).

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

38889391844160 is a wasteful number, since it uses less digits than its factorization.

38889391844160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17621 (or 17592 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 38889391844160 in words is "thirty-eight trillion, eight hundred eighty-nine billion, three hundred ninety-one million, eight hundred forty-four thousand, one hundred sixty".