34434114200 has 192 divisors, whose sum is σ = 88226496000. Its totient is φ = 12440355840.

The previous prime is 34434114173. The next prime is 34434114203. The reversal of 34434114200 is 241143443.

It is a self number, because there is not a number n which added to its sum of digits gives 34434114200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34434114203) 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, 42563396 + ... + 42564204.

It is an arithmetic number, because the mean of its divisors is an integer number (459513000).

Almost surely, 2^34434114200 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 34434114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44113248000).

34434114200 is an abundant number, since it is smaller than the sum of its proper divisors (53792381800).

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

34434114200 is a wasteful number, since it uses less digits than its factorization.

34434114200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 34434114200 its reverse (241143443), we get a palindrome (34675257643).

The spelling of 34434114200 in words is "thirty-four billion, four hundred thirty-four million, one hundred fourteen thousand, two hundred".