3344 has 20 divisors (see below), whose sum is σ = 7440. Its totient is φ = 1440.

The previous prime is 3343. The next prime is 3347. The reversal of 3344 is 4433.

3344 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×3344^{2} = 22364672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

3344 is an undulating number in base 15.

It is a plaindrome in base 10.

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 10.

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, 167 + ... + 185.

It is an arithmetic number, because the mean of its divisors is an integer number (372).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720).

3344 is an abundant number, since it is smaller than the sum of its proper divisors (4096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3344 is a wasteful number, since it uses less digits than its factorization.

3344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 32 counting only the distinct ones).

The product of its digits is 144, while the sum is 14.

The square root of 3344 is about 57.8273291792. The cubic root of 3344 is about 14.9539327394.

Adding to 3344 its reverse (4433), we get a palindrome (7777).

Subtracting 3344 from its reverse (4433), we obtain a square (1089 = 33^{2}).

It can be divided in two parts, 33 and 44, that added together give a palindrome (77).

The spelling of 3344 in words is "three thousand, three hundred forty-four", and thus it is an iban number.

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