34206134300 has 144 divisors (see below), whose sum is σ = 82242256992. Its totient is φ = 12270873600.

The previous prime is 34206134191. The next prime is 34206134309. The reversal of 34206134300 is 343160243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 34206134300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34206134309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6579302 + ... + 6584498.

Almost surely, 2^34206134300 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 34206134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41121128496).

34206134300 is an abundant number, since it is smaller than the sum of its proper divisors (48036122692).

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

34206134300 is a wasteful number, since it uses less digits than its factorization.

34206134300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5368 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 34206134300 its reverse (343160243), we get a palindrome (34549294543).

The spelling of 34206134300 in words is "thirty-four billion, two hundred six million, one hundred thirty-four thousand, three hundred".