3362 has 6 divisors (see below), whose sum is σ = 5169. Its totient is φ = 1640.

The previous prime is 3361. The next prime is 3371. The reversal of 3362 is 2633.

Added to its reverse (2633) it gives a triangular number (5995 = T_{109}).

3362 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 2401 + 961 = 49^2 + 31^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=41.

It is a super-2 number, since 2×3362^{2} = 22606088, which contains 22 as substring.

It is a d-powerful number, because it can be written as **3**^{2} + **6**^{4} + **3**^{2} + **2**^{11} .

It is a Duffinian number.

3362 is an undulating number in base 9.

It is a nialpdrome in base 8, base 15 and base 16.

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, 62 + ... + 102.

3362 is a deficient number, since it is larger than the sum of its proper divisors (1807).

3362 is an equidigital number, since it uses as much as digits as its factorization.

3362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 43 counting only the distinct ones).

The product of its digits is 108, while the sum is 14.

The square root of 3362 is about 57.9827560573. The cubic root of 3362 is about 14.9807159598.

Adding to 3362 its reverse (2633), we get a palindrome (5995).

Subtracting from 3362 its reverse (2633), we obtain a 6-th power (729 = 3^{6}).

The spelling of 3362 in words is "three thousand, three hundred sixty-two".

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