38944175189304 has 768 divisors, whose sum is σ = 136452523622400. Its totient is φ = 9121714560000.

The previous prime is 38944175189291. The next prime is 38944175189321. The reversal of 38944175189304 is 40398157144983.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent 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, 464735649 + ... + 464819439.

It is an arithmetic number, because the mean of its divisors is an integer number (177672556800).

Almost surely, 2^{38944175189304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38944175189304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68226261811200).

38944175189304 is an abundant number, since it is smaller than the sum of its proper divisors (97508348433096).

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

38944175189304 is a wasteful number, since it uses less digits than its factorization.

38944175189304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83936 (or 83925 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 38944175189304 in words is "thirty-eight trillion, nine hundred forty-four billion, one hundred seventy-five million, one hundred eighty-nine thousand, three hundred four".