343134134433204 has 192 divisors, whose sum is σ = 860499550310400. Its totient is φ = 106042211942400.

The previous prime is 343134134433203. The next prime is 343134134433257. The reversal of 343134134433204 is 402334431431343.

It is a super-2 number, since 2×343134134433204² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343134134433203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7597996384 + ... + 7598041544.

It is an arithmetic number, because the mean of its divisors is an integer number (4481768491200).

Almost surely, 2^{343134134433204} is an apocalyptic number.

343134134433204 is a gapful number since it is divisible by the number (34) 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 343134134433204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430249775155200).

343134134433204 is an abundant number, since it is smaller than the sum of its proper divisors (517365415877196).

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

343134134433204 is a wasteful number, since it uses less digits than its factorization.

343134134433204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47274 (or 47272 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 42.

Adding to 343134134433204 its reverse (402334431431343), we get a palindrome (745468565864547).

The spelling of 343134134433204 in words is "three hundred forty-three trillion, one hundred thirty-four billion, one hundred thirty-four million, four hundred thirty-three thousand, two hundred four".