3340 has 12 divisors (see below), whose sum is σ = 7056. Its totient is φ = 1328.

The previous prime is 3331. The next prime is 3343. The reversal of 3340 is 433.

It is a super-2 number, since 2×3340^{2} = 22311200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 11 and base 13.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (3343) by changing a digit.

3340 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, 64 + ... + 103.

It is an arithmetic number, because the mean of its divisors is an integer number (588).

2^{3340} is an apocalyptic number.

It is an amenable number.

3340 is an abundant number, since it is smaller than the sum of its proper divisors (3716).

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 (3528).

3340 is a wasteful number, since it uses less digits than its factorization.

3340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 3340 is about 57.7927331072. The cubic root of 3340 is about 14.9479678673.

Adding to 3340 its reverse (433), we get a palindrome (3773).

It can be divided in two parts, 3 and 340, that added together give a palindrome (343).

The spelling of 3340 in words is "three thousand, three hundred forty", and thus it is an iban number.

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