343321334400000 has 2112 divisors, whose sum is σ = 1275622060462848. Its totient is φ = 82074009600000.

The previous prime is 343321334399993. The next prime is 343321334400017. The reversal of 343321334400000 is 4433123343.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1239427199862 + ... + 1239427200138.

Almost surely, 2^{343321334400000} is an apocalyptic number.

343321334400000 is a gapful number since it is divisible by the number (30) 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 343321334400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637811030231424).

343321334400000 is an abundant number, since it is smaller than the sum of its proper divisors (932300726062848).

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

343321334400000 is an frugal number, since it uses more digits than its factorization.

343321334400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 343321334400000 its reverse (4433123343), we get a palindrome (343325767523343).

The spelling of 343321334400000 in words is "three hundred forty-three trillion, three hundred twenty-one billion, three hundred thirty-four million, four hundred thousand".