32854334304 has 144 divisors (see below), whose sum is σ = 95000967936. Its totient is φ = 9934298880.

The previous prime is 32854334287. The next prime is 32854334363. The reversal of 32854334304 is 40343345823.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5840037 + ... + 5845659.

It is an arithmetic number, because the mean of its divisors is an integer number (659728944).

Almost surely, 2^32854334304 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 32854334304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47500483968).

32854334304 is an abundant number, since it is smaller than the sum of its proper divisors (62146633632).

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

32854334304 is a wasteful number, since it uses less digits than its factorization.

32854334304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6161 (or 6142 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

The spelling of 32854334304 in words is "thirty-two billion, eight hundred fifty-four million, three hundred thirty-four thousand, three hundred four".