3342 has 8 divisors (see below), whose sum is σ = 6696. Its totient is φ = 1112.

The previous prime is 3331. The next prime is 3343. The reversal of 3342 is 2433.

3342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

3342 is an admirable number.

It is a super-2 number, since 2×3342^{2} = 22337928, which contains 22 as substring.

It is a d-powerful number, because it can be written as **3**^{3} + **4**^{5} + **3**^{5} + **2**^{11} .

It is a plaindrome in base 11.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3343) 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, 273 + ... + 284.

It is an arithmetic number, because the mean of its divisors is an integer number (837).

2^{3342} is an apocalyptic number.

3342 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (3348).

3342 is a wasteful number, since it uses less digits than its factorization.

3342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562.

The product of its digits is 72, while the sum is 12.

The square root of 3342 is about 57.8100337312. The cubic root of 3342 is about 14.9509508983.

Multiplying 3342 by its sum of digits (12), we get a palindrome (40104).

Adding to 3342 its reverse (2433), we get a palindrome (5775).

Subtracting from 3342 its reverse (2433), we obtain a palindrome (909).

The spelling of 3342 in words is "three thousand, three hundred forty-two", and thus it is an iban number.

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