3334414144 has 56 divisors (see below), whose sum is σ = 6913595520. Its totient is φ = 1592600064.

The previous prime is 3334414141. The next prime is 3334414207. The reversal of 3334414144 is 4414144333.

It is a happy number.

It is a super-2 number, since 2×3334414144² = 22236635367414505472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3334414141) by changing a digit.

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, 2138037 + ... + 2139595.

Almost surely, 2^3334414144 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 3334414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456797760).

3334414144 is an abundant number, since it is smaller than the sum of its proper divisors (3579181376).

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

3334414144 is a wasteful number, since it uses less digits than its factorization.

3334414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3037 counting only the distinct ones).

The product of its digits is 27648, while the sum is 31.

The square root of 3334414144 is about 57744.3862552889. The cubic root of 3334414144 is about 1493.9630164074.

Adding to 3334414144 its reverse (4414144333), we get a palindrome (7748558477).

The spelling of 3334414144 in words is "three billion, three hundred thirty-four million, four hundred fourteen thousand, one hundred forty-four".