34306116432 has 160 divisors (see below), whose sum is σ = 105278595072. Its totient is φ = 9421650432.

The previous prime is 34306116421. The next prime is 34306116443. The reversal of 34306116432 is 23461160343.

It is an interprime number because it is at equal distance from previous prime (34306116421) and next prime (34306116443).

It is a junction number, because it is equal to n+sod(n) for n = 34306116393 and 34306116402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015233 + ... + 1048479.

Almost surely, 2^34306116432 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 34306116432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52639297536).

34306116432 is an abundant number, since it is smaller than the sum of its proper divisors (70972478640).

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

34306116432 is a wasteful number, since it uses less digits than its factorization.

34306116432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33385 (or 33379 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 34306116432 its reverse (23461160343), we get a palindrome (57767276775).

The spelling of 34306116432 in words is "thirty-four billion, three hundred six million, one hundred sixteen thousand, four hundred thirty-two".