38724 has 24 divisors (see below), whose sum is σ = 103488. Its totient is φ = 11040.

The previous prime is 38723. The next prime is 38729. The reversal of 38724 is 42783.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 38694 and 38703.

It is not an unprimeable number, because it can be changed into a prime (38723) 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 7 ways as a sum of consecutive naturals, for example, 147 + ... + 314.

It is an arithmetic number, because the mean of its divisors is an integer number (4312).

2³⁸⁷²⁴ is an apocalyptic number.

It is an amenable number.

38724 is an abundant number, since it is smaller than the sum of its proper divisors (64764).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51744).

38724 is a wasteful number, since it uses less digits than its factorization.

38724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 473 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 38724 is about 196.7841457028. The cubic root of 38724 is about 33.8319271635.

The spelling of 38724 in words is "thirty-eight thousand, seven hundred twenty-four".