34517241728 has 64 divisors (see below), whose sum is σ = 72874695600. Its totient is φ = 16228933632.

The previous prime is 34517241721. The next prime is 34517241749. The reversal of 34517241728 is 82714271543.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34517241721) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2667851 + ... + 2680757.

Almost surely, 2^34517241728 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 34517241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36437347800).

34517241728 is an abundant number, since it is smaller than the sum of its proper divisors (38357453872).

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

34517241728 is a wasteful number, since it uses less digits than its factorization.

34517241728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14167 (or 14155 counting only the distinct ones).

The product of its digits is 376320, while the sum is 44.

The spelling of 34517241728 in words is "thirty-four billion, five hundred seventeen million, two hundred forty-one thousand, seven hundred twenty-eight".