3434320130200 has 96 divisors (see below), whose sum is σ = 8051227612560. Its totient is φ = 1362312972800.

The previous prime is 3434320130177. The next prime is 3434320130201. The reversal of 3434320130200 is 20310234343.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434320130201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39072702 + ... + 39160498.

Almost surely, 2^{3434320130200} 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 3434320130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025613806280).

3434320130200 is an abundant number, since it is smaller than the sum of its proper divisors (4616907482360).

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

3434320130200 is a wasteful number, since it uses less digits than its factorization.

3434320130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89437 (or 89428 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 3434320130200 its reverse (20310234343), we get a palindrome (3454630364543).

The spelling of 3434320130200 in words is "three trillion, four hundred thirty-four billion, three hundred twenty million, one hundred thirty thousand, two hundred".