38840 has 16 divisors (see below), whose sum is σ = 87480. Its totient is φ = 15520.

The previous prime is 38839. The next prime is 38851. The reversal of 38840 is 4883.

It is a super-3 number, since 3×38840³ = 175775733312000, which contains 333 as substring.

It is an Ulam number.

It is a zygodrome in base 7.

It is a congruent number.

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, 446 + ... + 525.

2³⁸⁸⁴⁰ is an apocalyptic number.

It is an amenable number.

38840 is an abundant number, since it is smaller than the sum of its proper divisors (48640).

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 (43740).

38840 is a wasteful number, since it uses less digits than its factorization.

38840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 38840 is about 197.0786644972. The cubic root of 38840 is about 33.8656753246.

It can be divided in two parts, 38 and 840, that added together give a palindrome (878).

The spelling of 38840 in words is "thirty-eight thousand, eight hundred forty".