38740 has 24 divisors (see below), whose sum is σ = 88200. Its totient is φ = 14208.

The previous prime is 38737. The next prime is 38747. The reversal of 38740 is 4783.

38740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 324 + 38416 = 18^2 + 196^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38747) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186 + ... + 334.

It is an arithmetic number, because the mean of its divisors is an integer number (3675).

2³⁸⁷⁴⁰ 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 38740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44100).

38740 is an abundant number, since it is smaller than the sum of its proper divisors (49460).

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

38740 is a wasteful number, since it uses less digits than its factorization.

38740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 38740 is about 196.8247951860. The cubic root of 38740 is about 33.8365860856.

The spelling of 38740 in words is "thirty-eight thousand, seven hundred forty".