38753200 has 120 divisors (see below), whose sum is σ = 101712240. Its totient is φ = 14131200.

The previous prime is 38753177. The next prime is 38753219. The reversal of 38753200 is 235783.

38753200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278731 + ... + 278869.

It is an arithmetic number, because the mean of its divisors is an integer number (847602).

Almost surely, 2^38753200 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 38753200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50856120).

38753200 is an abundant number, since it is smaller than the sum of its proper divisors (62959040).

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

38753200 is a wasteful number, since it uses less digits than its factorization.

38753200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 38753200 is about 6225.2068238734. The cubic root of 38753200 is about 338.4042873073.

Adding to 38753200 its reverse (235783), we get a palindrome (38988983).

The spelling of 38753200 in words is "thirty-eight million, seven hundred fifty-three thousand, two hundred".