38240 has 24 divisors (see below), whose sum is σ = 90720. Its totient is φ = 15232.

The previous prime is 38239. The next prime is 38261. The reversal of 38240 is 4283.

38240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

38240 is strictly pandigital in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38240.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41 + ... + 279.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2³⁸²⁴⁰ 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 38240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

38240 is an abundant number, since it is smaller than the sum of its proper divisors (52480).

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

38240 is a wasteful number, since it uses less digits than its factorization.

38240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 38240 is about 195.5505049853. The cubic root of 38240 is about 33.6903840110.

The spelling of 38240 in words is "thirty-eight thousand, two hundred forty".