34548747289728 has 256 divisors, whose sum is σ = 112967584435200. Its totient is φ = 9134062350336.

The previous prime is 34548747289663. The next prime is 34548747289739. The reversal of 34548747289728 is 82798274784543.

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 5669851 + ... + 10062042.

It is an arithmetic number, because the mean of its divisors is an integer number (441279626700).

Almost surely, 2^{34548747289728} is an apocalyptic number.

34548747289728 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

34548747289728 is an abundant number, since it is smaller than the sum of its proper divisors (78418837145472).

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

34548747289728 is a wasteful number, since it uses less digits than its factorization.

34548747289728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15731979 (or 15731967 counting only the distinct ones).

The product of its digits is 6069288960, while the sum is 78.

The spelling of 34548747289728 in words is "thirty-four trillion, five hundred forty-eight billion, seven hundred forty-seven million, two hundred eighty-nine thousand, seven hundred twenty-eight".