38288800 has 144 divisors (see below), whose sum is σ = 107805600. Its totient is φ = 13132800.

The previous prime is 38288753. The next prime is 38288827. The reversal of 38288800 is 888283.

It is a self number, because there is not a number n which added to its sum of digits gives 38288800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167086 + ... + 167314.

It is an arithmetic number, because the mean of its divisors is an integer number (748650).

Almost surely, 2^38288800 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 38288800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53902800).

38288800 is an abundant number, since it is smaller than the sum of its proper divisors (69516800).

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

38288800 is a wasteful number, since it uses less digits than its factorization.

38288800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 38288800 is about 6187.7944374389. The cubic root of 38288800 is about 337.0470925393.

The spelling of 38288800 in words is "thirty-eight million, two hundred eighty-eight thousand, eight hundred".