38344879104 has 352 divisors, whose sum is σ = 122019803136. Its totient is φ = 10475274240.

The previous prime is 38344879103. The next prime is 38344879163. The reversal of 38344879104 is 40197844383.

It is not an unprimeable number, because it can be changed into a prime (38344879103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64662232 + ... + 64662824.

It is an arithmetic number, because the mean of its divisors is an integer number (346647168).

Almost surely, 2^38344879104 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 38344879104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61009901568).

38344879104 is an abundant number, since it is smaller than the sum of its proper divisors (83674924032).

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

38344879104 is a wasteful number, since it uses less digits than its factorization.

38344879104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 38344879104 in words is "thirty-eight billion, three hundred forty-four million, eight hundred seventy-nine thousand, one hundred four".