38940 has 48 divisors (see below), whose sum is σ = 120960. Its totient is φ = 9280.

The previous prime is 38933. The next prime is 38953. The reversal of 38940 is 4983.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 38940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631 + ... + 689.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2³⁸⁹⁴⁰ is an apocalyptic number.

38940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

38940 is an abundant number, since it is smaller than the sum of its proper divisors (82020).

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

38940 is a wasteful number, since it uses less digits than its factorization.

38940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 38940 is about 197.3322072040. The cubic root of 38940 is about 33.8947146762.

The spelling of 38940 in words is "thirty-eight thousand, nine hundred forty".