34490325200 has 120 divisors (see below), whose sum is σ = 83754448152. Its totient is φ = 13648527360.

The previous prime is 34490325193. The next prime is 34490325239. The reversal of 34490325200 is 252309443.

It can be written as a sum of positive squares in 12 ways, for example, as 10880158864 + 23610166336 = 104308^2 + 153656^2 .

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 23 ways as a sum of consecutive naturals, for example, 16138532 + ... + 16140668.

Almost surely, 2^34490325200 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 34490325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41877224076).

34490325200 is an abundant number, since it is smaller than the sum of its proper divisors (49264122952).

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

34490325200 is a wasteful number, since it uses less digits than its factorization.

34490325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 34490325200 in words is "thirty-four billion, four hundred ninety million, three hundred twenty-five thousand, two hundred".