3364 has 9 divisors (see below), whose sum is σ = 6097. Its totient is φ = 1624.

The previous prime is 3361. The next prime is 3371. The reversal of 3364 is 4633.

Multipling 3364 by its sum of digits (16), we get a square (53824 = 232^{2}).

Adding to 3364 its reverse (4633), we get a palindrome (7997).

It can be divided in two parts, 33 and 64, that multiplied together give a palindrome (2112).

3364 = T_{39} + T_{40} + ... +
T_{42}.

It is a happy number.

The square root of 3364 is 58.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1764 + 1600 = 42^2 + 40^2 .

It is a super-2 number, since 2×3364^{2} = 22632992, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a nialpdrome in base 8 and 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 in 2 ways as a sum of consecutive naturals, for example, 102 + ... + 130.

3364 is the 58-th square number.

It is an amenable number.

3364 is a deficient number, since it is larger than the sum of its proper divisors (2733).

3364 is a wasteful number, since it uses less digits than its factorization.

3364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 31 counting only the distinct ones).

The product of its digits is 216, while the sum is 16.

The cubic root of 3364 is about 14.9836859670.

The spelling of 3364 in words is "three thousand, three hundred sixty-four".

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