3396 has 12 divisors (see below), whose sum is σ = 7952. Its totient is φ = 1128.

The previous prime is 3391. The next prime is 3407. The reversal of 3396 is 6933.

3396 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3391) by changing a digit.

3396 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 130 + ... + 153.

It is an amenable number.

3396 is an abundant number, since it is smaller than the sum of its proper divisors (4556).

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 (3976).

3396 is a wasteful number, since it uses less digits than its factorization.

3396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 288 counting only the distinct ones).

The product of its digits is 486, while the sum is 21.

The square root of 3396 is about 58.2752091373. The cubic root of 3396 is about 15.0310468065.

Subtracting from 3396 its sum of digits (21), we obtain a cube (3375 = 15³).

The spelling of 3396 in words is "three thousand, three hundred ninety-six".