34345535200 has 144 divisors (see below), whose sum is σ = 91840528080. Its totient is φ = 12484075520.

The previous prime is 34345535179. The next prime is 34345535209. The reversal of 34345535200 is 253554343.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34345535209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350859 + ... + 437941.

It is an arithmetic number, because the mean of its divisors is an integer number (637781445).

Almost surely, 2^34345535200 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 34345535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45920264040).

34345535200 is an abundant number, since it is smaller than the sum of its proper divisors (57494992880).

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

34345535200 is a wasteful number, since it uses less digits than its factorization.

34345535200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87149 (or 87136 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 34.

The spelling of 34345535200 in words is "thirty-four billion, three hundred forty-five million, five hundred thirty-five thousand, two hundred".