343214000134320 has 240 divisors, whose sum is σ = 1237696709483520. Its totient is φ = 78447329791488.

The previous prime is 343214000134249. The next prime is 343214000134441. The reversal of 343214000134320 is 23431000412343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 641346379 + ... + 641881301.

It is an arithmetic number, because the mean of its divisors is an integer number (5157069622848).

Almost surely, 2^{343214000134320} is an apocalyptic number.

343214000134320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343214000134320 is an abundant number, since it is smaller than the sum of its proper divisors (894482709349200).

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

343214000134320 is a wasteful number, since it uses less digits than its factorization.

343214000134320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589512 (or 589499 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 343214000134320 its reverse (23431000412343), we get a palindrome (366645000546663).

The spelling of 343214000134320 in words is "three hundred forty-three trillion, two hundred fourteen billion, one hundred thirty-four thousand, three hundred twenty".