38200 has 24 divisors (see below), whose sum is σ = 89280. Its totient is φ = 15200.

The previous prime is 38197. The next prime is 38201. The reversal of 38200 is 283.

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105 + ... + 295.

It is an arithmetic number, because the mean of its divisors is an integer number (3720).

2³⁸²⁰⁰ 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 38200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640).

38200 is an abundant number, since it is smaller than the sum of its proper divisors (51080).

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

38200 is a wasteful number, since it uses less digits than its factorization.

38200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 38200 is about 195.4482028569. The cubic root of 38200 is about 33.6786329169.

Adding to 38200 its reverse (283), we get a palindrome (38483).

The spelling of 38200 in words is "thirty-eight thousand, two hundred".