38055600 has 270 divisors, whose sum is σ = 148866588. Its totient is φ = 8928000.

The previous prime is 38055581. The next prime is 38055601. The reversal of 38055600 is 655083.

38055600 is a `hidden beast` number, since 3 + 8 + 0 + 55 + 600 = 666.

It is not an unprimeable number, because it can be changed into a prime (38055601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1227585 + ... + 1227615.

Almost surely, 2^38055600 is an apocalyptic number.

38055600 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 38055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74433294).

38055600 is an abundant number, since it is smaller than the sum of its proper divisors (110810988).

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

38055600 is a wasteful number, since it uses less digits than its factorization.

38055600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 38055600 is about 6168.9221100610. The cubic root of 38055600 is about 336.3614308021.

The spelling of 38055600 in words is "thirty-eight million, fifty-five thousand, six hundred".