38185056000 has 1728 divisors, whose sum is σ = 178278137856. Its totient is φ = 7630848000.

The previous prime is 38185055977. The next prime is 38185056011. The reversal of 38185056000 is 65058183.

38185056000 is a `hidden beast` number, since 38 + 18 + 5 + 0 + 5 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 812447977 + ... + 812448023.

Almost surely, 2^38185056000 is an apocalyptic number.

38185056000 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 38185056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89139068928).

38185056000 is an abundant number, since it is smaller than the sum of its proper divisors (140093081856).

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

38185056000 is a wasteful number, since it uses less digits than its factorization.

38185056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 38185056000 in words is "thirty-eight billion, one hundred eighty-five million, fifty-six thousand".