343456420000 has 120 divisors (see below), whose sum is σ = 845363237796. Its totient is φ = 137316096000.

The previous prime is 343456419979. The next prime is 343456420001. The reversal of 343456420000 is 24654343.

It can be written as a sum of positive squares in 10 ways, for example, as 9229060624 + 334227359376 = 96068^2 + 578124^2 .

It is not an unprimeable number, because it can be changed into a prime (343456420001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 77057772 + ... + 77062228.

Almost surely, 2^343456420000 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 343456420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422681618898).

343456420000 is an abundant number, since it is smaller than the sum of its proper divisors (501906817796).

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

343456420000 is an equidigital number, since it uses as much as digits as its factorization.

343456420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8340 (or 8317 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

The spelling of 343456420000 in words is "three hundred forty-three billion, four hundred fifty-six million, four hundred twenty thousand".