3368 has 8 divisors (see below), whose sum is σ = 6330. Its totient is φ = 1680.

The previous prime is 3361. The next prime is 3371. The reversal of 3368 is 8633.

3368 = T₁₂ + T₁₃ + ... + T₂₇.

3368 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in only one way, i.e., 3364 + 4 = 58^2 + 2^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×3368² = 22686848, which contains 22 as substring.

It is an Ulam number.

It is a plaindrome in base 10.

It is a nialpdrome in base 15.

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

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 as a sum of consecutive naturals, namely, 203 + ... + 218.

2³³⁶⁸ is an apocalyptic number.

It is an amenable number.

3368 is a deficient number, since it is larger than the sum of its proper divisors (2962).

3368 is a wasteful number, since it uses less digits than its factorization.

3368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 423 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 3368 is about 58.0344725142. The cubic root of 3368 is about 14.9896224517.

It can be divided in two parts, 33 and 68, that added together give a palindrome (101).

The spelling of 3368 in words is "three thousand, three hundred sixty-eight".