3404334122432 has 224 divisors, whose sum is σ = 7565519438400. Its totient is φ = 1512795045888.

The previous prime is 3404334122407. The next prime is 3404334122561. The reversal of 3404334122432 is 2342214334043.

It is a junction number, because it is equal to n+sod(n) for n = 3404334122392 and 3404334122401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1300852388 + ... + 1300855004.

It is an arithmetic number, because the mean of its divisors is an integer number (33774640350).

Almost surely, 2^{3404334122432} is an apocalyptic number.

3404334122432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3404334122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782759719200).

3404334122432 is an abundant number, since it is smaller than the sum of its proper divisors (4161185315968).

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

3404334122432 is a wasteful number, since it uses less digits than its factorization.

3404334122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 3404334122432 its reverse (2342214334043), we get a palindrome (5746548456475).

The spelling of 3404334122432 in words is "three trillion, four hundred four billion, three hundred thirty-four million, one hundred twenty-two thousand, four hundred thirty-two".