38874 has 32 divisors (see below), whose sum is σ = 92160. Its totient is φ = 10800.

The previous prime is 38873. The next prime is 38891. The reversal of 38874 is 47883.

It is a super-2 number, since 2×38874² = 3022375752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1239 + ... + 1269.

It is an arithmetic number, because the mean of its divisors is an integer number (2880).

2³⁸⁸⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46080).

38874 is an abundant number, since it is smaller than the sum of its proper divisors (53286).

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

38874 is a wasteful number, since it uses less digits than its factorization.

38874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66.

The product of its digits is 5376, while the sum is 30.

The square root of 38874 is about 197.1649055993. The cubic root of 38874 is about 33.8755542908.

Subtracting 38874 from its reverse (47883), we obtain a palindrome (9009).

The spelling of 38874 in words is "thirty-eight thousand, eight hundred seventy-four".