38850 has 48 divisors (see below), whose sum is σ = 113088. Its totient is φ = 8640.

The previous prime is 38839. The next prime is 38851. The reversal of 38850 is 5883.

38850 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 38850.

It is not an unprimeable number, because it can be changed into a prime (38851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1032 + ... + 1068.

It is an arithmetic number, because the mean of its divisors is an integer number (2356).

2³⁸⁸⁵⁰ is an apocalyptic number.

38850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56544).

38850 is an abundant number, since it is smaller than the sum of its proper divisors (74238).

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

38850 is a wasteful number, since it uses less digits than its factorization.

38850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 38850 is about 197.1040334443. The cubic root of 38850 is about 33.8685815011.

It can be divided in two parts, 38 and 850, that added together give a palindrome (888).

The spelling of 38850 in words is "thirty-eight thousand, eight hundred fifty".