34085546560 has 224 divisors, whose sum is σ = 91950308352. Its totient is φ = 11947253760.

The previous prime is 34085546503. The next prime is 34085546587. The reversal of 34085546560 is 6564558043.

It is a self number, because there is not a number n which added to its sum of digits gives 34085546560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6832387 + ... + 6837373.

It is an arithmetic number, because the mean of its divisors is an integer number (410492448).

Almost surely, 2^34085546560 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 34085546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45975154176).

34085546560 is an abundant number, since it is smaller than the sum of its proper divisors (57864761792).

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

34085546560 is a wasteful number, since it uses less digits than its factorization.

34085546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5101 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 34085546560 in words is "thirty-four billion, eighty-five million, five hundred forty-six thousand, five hundred sixty".