343190205312 has 128 divisors (see below), whose sum is σ = 965503929600. Its totient is φ = 107636121600.

The previous prime is 343190205271. The next prime is 343190205313. The reversal of 343190205312 is 213502091343.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343190205313) 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 15 ways as a sum of consecutive naturals, for example, 33803437 + ... + 33813587.

It is an arithmetic number, because the mean of its divisors is an integer number (7542999450).

Almost surely, 2^343190205312 is an apocalyptic number.

343190205312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343190205312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482751964800).

343190205312 is an abundant number, since it is smaller than the sum of its proper divisors (622313724288).

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

343190205312 is a wasteful number, since it uses less digits than its factorization.

343190205312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15364 (or 15352 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

Adding to 343190205312 its reverse (213502091343), we get a palindrome (556692296655).

The spelling of 343190205312 in words is "three hundred forty-three billion, one hundred ninety million, two hundred five thousand, three hundred twelve".