38834000920 has 256 divisors, whose sum is σ = 106830057600. Its totient is φ = 12510167040.

The previous prime is 38834000911. The next prime is 38834000951. The reversal of 38834000920 is 2900043883.

It is a self number, because there is not a number n which added to its sum of digits gives 38834000920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32014234 + ... + 32015446.

Almost surely, 2^38834000920 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 38834000920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53415028800).

38834000920 is an abundant number, since it is smaller than the sum of its proper divisors (67996056680).

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

38834000920 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (38834000919) it forms an eRAP, since the sums of their prime factors are consecutive (1469 and 1470).

38834000920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 38834000920 in words is "thirty-eight billion, eight hundred thirty-four million, nine hundred twenty", and thus it is an aban number.