343134134433432 has 96 divisors (see below), whose sum is σ = 936810257011200. Its totient is φ = 113456694822912.

The previous prime is 343134134433407. The next prime is 343134134433443. The reversal of 343134134433432 is 234334431431343.

343134134433432 is a `hidden beast` number, since 3 + 4 + 3 + 134 + 13 + 44 + 33 + 432 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46655944 + ... + 53507432.

It is an arithmetic number, because the mean of its divisors is an integer number (9758440177200).

Almost surely, 2^{343134134433432} 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 343134134433432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468405128505600).

343134134433432 is an abundant number, since it is smaller than the sum of its proper divisors (593676122577768).

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

343134134433432 is a wasteful number, since it uses less digits than its factorization.

343134134433432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6857105 (or 6857098 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 45.

Adding to 343134134433432 its reverse (234334431431343), we get a palindrome (577468565864775).

The spelling of 343134134433432 in words is "three hundred forty-three trillion, one hundred thirty-four billion, one hundred thirty-four million, four hundred thirty-three thousand, four hundred thirty-two".