3906 has 24 divisors (see below), whose sum is σ = 9984. Its totient is φ = 1080.

The previous prime is 3889. The next prime is 3907. The reversal of 3906 is 6093.

3906 is nontrivially palindromic in base 5.

3906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

3906 is a nontrivial repdigit in base 5.

It is a plaindrome in base 5 and base 15.

It is a nialpdrome in base 5, base 9 and base 16.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3907) by changing a digit.

It is a nontrivial repunit in base 5.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111 + ... + 141.

It is an arithmetic number, because the mean of its divisors is an integer number (416).

2³⁹⁰⁶ is an apocalyptic number.

It is a pronic number, being equal to 62×63.

It is a practical number, because each smaller number is the sum of distinct divisors of 3906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4992).

3906 is an abundant number, since it is smaller than the sum of its proper divisors (6078).

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

3906 is a wasteful number, since it uses less digits than its factorization.

3906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3906 is about 62.4979999680. The cubic root of 3906 is about 15.7486771376.

Adding to 3906 its reverse (6093), we get a palindrome (9999).

Subtracting 3906 from its reverse (6093), we obtain a 7-th power (2187 = 3⁷).

It can be divided in two parts, 3 and 906, that added together give a palindrome (909).

The spelling of 3906 in words is "three thousand, nine hundred six".