3344414144 has 56 divisors (see below), whose sum is σ = 6712476288. Its totient is φ = 1653200640.

The previous prime is 3344414119. The next prime is 3344414159. The reversal of 3344414144 is 4414144433.

It is a super-2 number, since 2×3344414144² = 22370211933174505472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3344414144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2254427 + ... + 2255909.

It is an arithmetic number, because the mean of its divisors is an integer number (119865648).

Almost surely, 2^3344414144 is an apocalyptic number.

It is an amenable number.

3344414144 is an abundant number, since it is smaller than the sum of its proper divisors (3368062144).

3344414144 is a wasteful number, since it uses less digits than its factorization.

3344414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1863 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The square root of 3344414144 is about 57830.9099357774. The cubic root of 3344414144 is about 1495.4550046613.

Adding to 3344414144 its reverse (4414144433), we get a palindrome (7758558577).

The spelling of 3344414144 in words is "three billion, three hundred forty-four million, four hundred fourteen thousand, one hundred forty-four".