38500 has 48 divisors (see below), whose sum is σ = 104832. Its totient is φ = 12000.

The previous prime is 38461. The next prime is 38501. The reversal of 38500 is 583.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (38501) 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 15 ways as a sum of consecutive naturals, for example, 3495 + ... + 3505.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

2³⁸⁵⁰⁰ 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 38500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52416).

38500 is an abundant number, since it is smaller than the sum of its proper divisors (66332).

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

38500 is a wasteful number, since it uses less digits than its factorization.

38500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 38500 is about 196.2141687035. The cubic root of 38500 is about 33.7665670835.

The spelling of 38500 in words is "thirty-eight thousand, five hundred".