34546488960 has 512 divisors, whose sum is σ = 119431065600. Its totient is φ = 8475328512.

The previous prime is 34546488923. The next prime is 34546488973. The reversal of 34546488960 is 6988464543.

It is a self number, because there is not a number n which added to its sum of digits gives 34546488960.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 112529127 + ... + 112529433.

It is an arithmetic number, because the mean of its divisors is an integer number (233263800).

Almost surely, 2^34546488960 is an apocalyptic number.

34546488960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34546488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59715532800).

34546488960 is an abundant number, since it is smaller than the sum of its proper divisors (84884576640).

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

34546488960 is a wasteful number, since it uses less digits than its factorization.

34546488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 34546488960 in words is "thirty-four billion, five hundred forty-six million, four hundred eighty-eight thousand, nine hundred sixty".