38758128640 has 352 divisors, whose sum is σ = 122755544064. Its totient is φ = 11367874560.

The previous prime is 38758128601. The next prime is 38758128641. The reversal of 38758128640 is 4682185783.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38758128641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6699189 + ... + 6704971.

Almost surely, 2^38758128640 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 38758128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61377772032).

38758128640 is an abundant number, since it is smaller than the sum of its proper divisors (83997415424).

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

38758128640 is a wasteful number, since it uses less digits than its factorization.

38758128640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5843 (or 5825 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 38758128640 in words is "thirty-eight billion, seven hundred fifty-eight million, one hundred twenty-eight thousand, six hundred forty".