34384105728 has 108 divisors (see below), whose sum is σ = 113300457088. Its totient is φ = 9824025600.

The previous prime is 34384105703. The next prime is 34384105729. The reversal of 34384105728 is 82750148343.

34384105728 is a `hidden beast` number, since 3 + 4 + 38 + 41 + 0 + 572 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (34384105729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1049848 + ... + 1082103.

Almost surely, 2^34384105728 is an apocalyptic number.

It is an amenable number.

34384105728 is an abundant number, since it is smaller than the sum of its proper divisors (78916351360).

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

34384105728 is a wasteful number, since it uses less digits than its factorization.

34384105728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131980 (or 2131963 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 34384105728 in words is "thirty-four billion, three hundred eighty-four million, one hundred five thousand, seven hundred twenty-eight".