38793904128 has 532 divisors, whose sum is σ = 137530965840. Its totient is φ = 10701766656.

The previous prime is 38793904117. The next prime is 38793904129. The reversal of 38793904128 is 82140939783.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (38793904129) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1337720818 + ... + 1337720846.

Almost surely, 2^38793904128 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 38793904128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68765482920).

38793904128 is an abundant number, since it is smaller than the sum of its proper divisors (98737061712).

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

38793904128 is an frugal number, since it uses more digits than its factorization.

38793904128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 38793904128 in words is "thirty-eight billion, seven hundred ninety-three million, nine hundred four thousand, one hundred twenty-eight".