38105973672 has 128 divisors (see below), whose sum is σ = 109665480960. Its totient is φ = 10941511680.

The previous prime is 38105973629. The next prime is 38105973691. The reversal of 38105973672 is 27637950183.

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 31 ways as a sum of consecutive naturals, for example, 229458 + ... + 358974.

It is an arithmetic number, because the mean of its divisors is an integer number (856761570).

Almost surely, 2^38105973672 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 38105973672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54832740480).

38105973672 is an abundant number, since it is smaller than the sum of its proper divisors (71559507288).

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

38105973672 is a wasteful number, since it uses less digits than its factorization.

38105973672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129603 (or 129599 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 38105973672 in words is "thirty-eight billion, one hundred five million, nine hundred seventy-three thousand, six hundred seventy-two".