38788110144 has 224 divisors, whose sum is σ = 131972710400. Its totient is φ = 10941765120.

The previous prime is 38788110143. The next prime is 38788110157. The reversal of 38788110144 is 44101188783.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 38788110144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38788110143) by changing a digit.

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, 935289 + ... + 975879.

Almost surely, 2^38788110144 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 38788110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65986355200).

38788110144 is an abundant number, since it is smaller than the sum of its proper divisors (93184600256).

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

38788110144 is a wasteful number, since it uses less digits than its factorization.

38788110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40698 (or 40682 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 38788110144 in words is "thirty-eight billion, seven hundred eighty-eight million, one hundred ten thousand, one hundred forty-four".