34349041728 has 84 divisors (see below), whose sum is σ = 98481172608. Its totient is φ = 11446675200.

The previous prime is 34349041717. The next prime is 34349041747. The reversal of 34349041728 is 82714094343.

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 11 ways as a sum of consecutive naturals, for example, 3768825 + ... + 3777927.

It is an arithmetic number, because the mean of its divisors is an integer number (1172394912).

Almost surely, 2^34349041728 is an apocalyptic number.

It is an amenable number.

34349041728 is an abundant number, since it is smaller than the sum of its proper divisors (64132130880).

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

34349041728 is a wasteful number, since it uses less digits than its factorization.

34349041728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15672 (or 15659 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 34349041728 in words is "thirty-four billion, three hundred forty-nine million, forty-one thousand, seven hundred twenty-eight".