34484635728 has 60 divisors (see below), whose sum is σ = 102186096948. Its totient is φ = 10818708480.

The previous prime is 34484635699. The next prime is 34484635729. The reversal of 34484635728 is 82753648443.

34484635728 is a `hidden beast` number, since 3 + 4 + 4 + 8 + 4 + 63 + 572 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17253347904 + 17231287824 = 131352^2 + 131268^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34484635729) 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 11 ways as a sum of consecutive naturals, for example, 7040983 + ... + 7045878.

Almost surely, 2^34484635728 is an apocalyptic number.

It is an amenable number.

34484635728 is an abundant number, since it is smaller than the sum of its proper divisors (67701461220).

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

34484635728 is a wasteful number, since it uses less digits than its factorization.

34484635728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14086892 (or 14086883 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 34484635728 in words is "thirty-four billion, four hundred eighty-four million, six hundred thirty-five thousand, seven hundred twenty-eight".