3336 has 16 divisors (see below), whose sum is σ = 8400. Its totient is φ = 1104.

The previous prime is 3331. The next prime is 3343. The reversal of 3336 is 6333.

It is a super-2 number, since 2×3336² = 22257792, which contains 22 as substring.

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

It is a plaindrome in base 10.

It is a nialpdrome in base 8 and base 15.

It is not an unprimeable number, because it can be changed into a prime (3331) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46 + ... + 93.

It is an arithmetic number, because the mean of its divisors is an integer number (525).

2³³³⁶ is an apocalyptic number.

It is an amenable number.

3336 is an abundant number, since it is smaller than the sum of its proper divisors (5064).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200).

3336 is a wasteful number, since it uses less digits than its factorization.

3336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 144 counting only the distinct ones).

The product of its digits is 162, while the sum is 15.

The square root of 3336 is about 57.7581163128. The cubic root of 3336 is about 14.9419982310.

Subtracting from 3336 its sum of digits (15), we obtain a triangular number (3321 = T₈₁).

Adding to 3336 its reverse (6333), we get a palindrome (9669).

The spelling of 3336 in words is "three thousand, three hundred thirty-six".