3942 has 16 divisors (see below), whose sum is σ = 8880. Its totient is φ = 1296.

The previous prime is 3931. The next prime is 3943. The reversal of 3942 is 2493.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 3⁷ + 4⁵ + 9³ + 2 .

It is a plaindrome in base 12 and base 15.

It is a nialpdrome in base 16.

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 3942.

It is not an unprimeable number, because it can be changed into a prime (3943) by changing a digit.

3942 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18 + ... + 90.

It is an arithmetic number, because the mean of its divisors is an integer number (555).

2³⁹⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440).

3942 is an abundant number, since it is smaller than the sum of its proper divisors (4938).

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

3942 is a wasteful number, since it uses less digits than its factorization.

3942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 78 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 3942 is about 62.7853486094. The cubic root of 3942 is about 15.7969122845.

It can be divided in two parts, 39 and 42, that added together give a 4-th power (81 = 3⁴).

The spelling of 3942 in words is "three thousand, nine hundred forty-two".