34589900800 has 480 divisors, whose sum is σ = 109219572000. Its totient is φ = 10569646080.

The previous prime is 34589900789. The next prime is 34589900827. The reversal of 34589900800 is 800998543.

It is a super-3 number, since 3×34589900800³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1192755186 + ... + 1192755214.

It is an arithmetic number, because the mean of its divisors is an integer number (227540775).

Almost surely, 2^34589900800 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 34589900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54609786000).

34589900800 is an abundant number, since it is smaller than the sum of its proper divisors (74629671200).

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

34589900800 is an frugal number, since it uses more digits than its factorization.

34589900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 34589900800 in words is "thirty-four billion, five hundred eighty-nine million, nine hundred thousand, eight hundred".