38250576000 has 1536 divisors, whose sum is σ = 177768864000. Its totient is φ = 8012390400.

The previous prime is 38250575959. The next prime is 38250576037. The reversal of 38250576000 is 67505283.

38250576000 is a `hidden beast` number, since 3 + 82 + 5 + 0 + 576 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 275183931 + ... + 275184069.

Almost surely, 2^38250576000 is an apocalyptic number.

38250576000 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 38250576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88884432000).

38250576000 is an abundant number, since it is smaller than the sum of its proper divisors (139518288000).

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

38250576000 is a wasteful number, since it uses less digits than its factorization.

38250576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 38250576000 in words is "thirty-eight billion, two hundred fifty million, five hundred seventy-six thousand".