38540 has 24 divisors (see below), whose sum is σ = 84672. Its totient is φ = 14720.

The previous prime is 38501. The next prime is 38543. The reversal of 38540 is 4583.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38540.

It is not an unprimeable number, because it can be changed into a prime (38543) 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, 797 + ... + 843.

It is an arithmetic number, because the mean of its divisors is an integer number (3528).

2³⁸⁵⁴⁰ 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 38540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42336).

38540 is an abundant number, since it is smaller than the sum of its proper divisors (46132).

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

38540 is a wasteful number, since it uses less digits than its factorization.

38540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 38540 is about 196.3160716803. The cubic root of 38540 is about 33.7782570851.

It can be divided in two parts, 385 and 40, that multiplied together give a triangular number (15400 = T₁₇₅).

The spelling of 38540 in words is "thirty-eight thousand, five hundred forty".