3366 has 24 divisors (see below), whose sum is σ = 8424. Its totient is φ = 960.

The previous prime is 3361. The next prime is 3371. The reversal of 3366 is 6633.

3366 is nontrivially palindromic in base 8.

3366 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3361) and next prime (3371).

It is a super-2 number, since 2×3366² = 22659912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

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

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

Its product of digits (324) is a multiple of the sum of its prime factors (36).

It is a Curzon number.

It is a plaindrome in base 10 and base 13.

It is a nialpdrome in base 15.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3361) by changing a digit.

3366 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 11 ways as a sum of consecutive naturals, for example, 190 + ... + 206.

It is an arithmetic number, because the mean of its divisors is an integer number (351).

2³³⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212).

3366 is an abundant number, since it is smaller than the sum of its proper divisors (5058).

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

3366 is a wasteful number, since it uses less digits than its factorization.

3366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 33 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 3366 is about 58.0172388174. The cubic root of 3366 is about 14.9866547972.

Adding to 3366 its reverse (6633), we get a palindrome (9999).

It can be divided in two parts, 336 and 6, that multiplied together give a triangular number (2016 = T₆₃).

The spelling of 3366 in words is "three thousand, three hundred sixty-six".