34114432223300 has 216 divisors, whose sum is σ = 87637284604800. Its totient is φ = 11426237222400.

The previous prime is 34114432223297. The next prime is 34114432223323. The reversal of 34114432223300 is 332223441143.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85873526 + ... + 86269874.

Almost surely, 2^{34114432223300} 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 34114432223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43818642302400).

34114432223300 is an abundant number, since it is smaller than the sum of its proper divisors (53522852381500).

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

34114432223300 is a wasteful number, since it uses less digits than its factorization.

34114432223300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396863 (or 396843 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 34114432223300 its reverse (332223441143), we get a palindrome (34446655664443).

The spelling of 34114432223300 in words is "thirty-four trillion, one hundred fourteen billion, four hundred thirty-two million, two hundred twenty-three thousand, three hundred".