38139281276928 has 1008 divisors, whose sum is σ = 120017569366464. Its totient is φ = 10696481832960.

The previous prime is 38139281276917. The next prime is 38139281276933. The reversal of 38139281276928 is 82967218293183.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 886960029675 + ... + 886960029717.

Almost surely, 2^{38139281276928} 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 38139281276928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60008784683232).

38139281276928 is an abundant number, since it is smaller than the sum of its proper divisors (81878288089536).

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

38139281276928 is an frugal number, since it uses more digits than its factorization.

38139281276928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 125 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 69.

The spelling of 38139281276928 in words is "thirty-eight trillion, one hundred thirty-nine billion, two hundred eighty-one million, two hundred seventy-six thousand, nine hundred twenty-eight".