34350414200 has 96 divisors (see below), whose sum is σ = 84840663600. Its totient is φ = 12889405440.

The previous prime is 34350414193. The next prime is 34350414209. The reversal of 34350414200 is 241405343.

It is a self number, because there is not a number n which added to its sum of digits gives 34350414200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34350414209) 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, 1027346 + ... + 1060254.

Almost surely, 2^34350414200 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 34350414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42420331800).

34350414200 is an abundant number, since it is smaller than the sum of its proper divisors (50490249400).

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

34350414200 is a wasteful number, since it uses less digits than its factorization.

34350414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33249 (or 33240 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 34350414200 its reverse (241405343), we get a palindrome (34591819543).

The spelling of 34350414200 in words is "thirty-four billion, three hundred fifty million, four hundred fourteen thousand, two hundred".