3666 has 16 divisors (see below), whose sum is σ = 8064. Its totient is φ = 1104.

The previous prime is 3659. The next prime is 3671. The reversal of 3666 is 6663.

3666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

3666 is a modest number, since divided by 66 gives 36 as remainder.

It is a Curzon number.

It is a plaindrome in base 7, base 10, base 14 and base 15.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3666.

It is an unprimeable number.

3666 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, 55 + ... + 101.

It is an arithmetic number, because the mean of its divisors is an integer number (504).

It is a practical number, because each smaller number is the sum of distinct divisors of 3666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032).

3666 is an abundant number, since it is smaller than the sum of its proper divisors (4398).

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

3666 is a wasteful number, since it uses less digits than its factorization.

3666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65.

The product of its digits is 648, while the sum is 21.

The square root of 3666 is about 60.5475020129. The cubic root of 3666 is about 15.4192820820.

The spelling of 3666 in words is "three thousand, six hundred sixty-six".