3444 has 24 divisors (see below), whose sum is σ = 9408. Its totient is φ = 960.

The previous prime is 3433. The next prime is 3449. The reversal of 3444 is 4443.

It is a super-2 number, since 2×3444^{2} = 23722272, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

3444 is an undulating number in base 9.

It is a plaindrome in base 10.

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 3444.

It is not an unprimeable number, because it can be changed into a prime (3449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64 + ... + 104.

It is an arithmetic number, because the mean of its divisors is an integer number (392).

2^{3444} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704).

3444 is an abundant number, since it is smaller than the sum of its proper divisors (5964).

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

3444 is a wasteful number, since it uses less digits than its factorization.

3444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 53 counting only the distinct ones).

The product of its digits is 192, while the sum is 15.

The square root of 3444 is about 58.6856030045. The cubic root of 3444 is about 15.1015334027.

Adding to 3444 its reverse (4443), we get a palindrome (7887).

Subtracting 3444 from its reverse (4443), we obtain a palindrome (999).

It can be divided in two parts, 34 and 44, that added together give a triangular number (78 = T_{12}).

The spelling of 3444 in words is "three thousand, four hundred forty-four", and thus it is an iban number.

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