34414434032 has 80 divisors (see below), whose sum is σ = 74529694080. Its totient is φ = 15261292800.

The previous prime is 34414434001. The next prime is 34414434073. The reversal of 34414434032 is 23043441443.

It is a self number, because there is not a number n which added to its sum of digits gives 34414434032.

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 15 ways as a sum of consecutive naturals, for example, 1659407 + ... + 1680017.

It is an arithmetic number, because the mean of its divisors is an integer number (931621176).

Almost surely, 2^34414434032 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 34414434032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37264847040).

34414434032 is an abundant number, since it is smaller than the sum of its proper divisors (40115260048).

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

34414434032 is a wasteful number, since it uses less digits than its factorization.

34414434032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20862 (or 20856 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 34414434032 its reverse (23043441443), we get a palindrome (57457875475).

The spelling of 34414434032 in words is "thirty-four billion, four hundred fourteen million, four hundred thirty-four thousand, thirty-two".