3344544 has 144 divisors (see below), whose sum is σ = 11491200. Its totient is φ = 943488.

The previous prime is 3344543. The next prime is 3344557. The reversal of 3344544 is 4454433.

3344544 = 12³ + 13³ + ... + 60³.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3344544² = 22371949135872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3344543) 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 23 ways as a sum of consecutive naturals, for example, 42297 + ... + 42375.

It is an arithmetic number, because the mean of its divisors is an integer number (79800).

Almost surely, 2^3344544 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 3344544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745600).

3344544 is an abundant number, since it is smaller than the sum of its proper divisors (8146656).

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

3344544 is a wasteful number, since it uses less digits than its factorization.

3344544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 91 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 3344544 is about 1828.8094487945. The cubic root of 3344544 is about 149.5474359450.

Adding to 3344544 its reverse (4454433), we get a palindrome (7798977).

It can be divided in two parts, 33445 and 44, that added together give a square (33489 = 183²).

The spelling of 3344544 in words is "three million, three hundred forty-four thousand, five hundred forty-four".