34504734160 has 320 divisors, whose sum is σ = 94763934720. Its totient is φ = 11573452800.

The previous prime is 34504734149. The next prime is 34504734191. The reversal of 34504734160 is 6143740543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49221810 + ... + 49222510.

It is an arithmetic number, because the mean of its divisors is an integer number (296137296).

Almost surely, 2^34504734160 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 34504734160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47381967360).

34504734160 is an abundant number, since it is smaller than the sum of its proper divisors (60259200560).

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

34504734160 is a wasteful number, since it uses less digits than its factorization.

34504734160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 34504734160 in words is "thirty-four billion, five hundred four million, seven hundred thirty-four thousand, one hundred sixty".