3431444234424 has 128 divisors (see below), whose sum is σ = 8899683840000. Its totient is φ = 1101232742400.

The previous prime is 3431444234417. The next prime is 3431444234437. The reversal of 3431444234424 is 4244324441343.

It is a super-2 number, since 2×3431444234424² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834696129 + ... + 834700239.

It is an arithmetic number, because the mean of its divisors is an integer number (69528780000).

Almost surely, 2^{3431444234424} 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 3431444234424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449841920000).

3431444234424 is an abundant number, since it is smaller than the sum of its proper divisors (5468239605576).

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

3431444234424 is a wasteful number, since it uses less digits than its factorization.

3431444234424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7269 (or 7265 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 42.

Adding to 3431444234424 its reverse (4244324441343), we get a palindrome (7675768675767).

The spelling of 3431444234424 in words is "three trillion, four hundred thirty-one billion, four hundred forty-four million, two hundred thirty-four thousand, four hundred twenty-four".