38511828000 has 192 divisors, whose sum is σ = 140183447040. Its totient is φ = 10269792000.

The previous prime is 38511827989. The next prime is 38511828011. The reversal of 38511828000 is 82811583.

It is an interprime number because it is at equal distance from previous prime (38511827989) and next prime (38511828011).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70296 + ... + 286295.

It is an arithmetic number, because the mean of its divisors is an integer number (730122120).

Almost surely, 2^38511828000 is an apocalyptic number.

38511828000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38511828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70091723520).

38511828000 is an abundant number, since it is smaller than the sum of its proper divisors (101671619040).

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

38511828000 is a wasteful number, since it uses less digits than its factorization.

38511828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356625 (or 356601 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 38511828000 in words is "thirty-eight billion, five hundred eleven million, eight hundred twenty-eight thousand".