343321044000 has 1152 divisors, whose sum is σ = 1300013245440. Its totient is φ = 79073280000.

The previous prime is 343321043941. The next prime is 343321044013. The reversal of 343321044000 is 440123343.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4345835961 + ... + 4345836039.

It is an arithmetic number, because the mean of its divisors is an integer number (1128483720).

Almost surely, 2^343321044000 is an apocalyptic number.

343321044000 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 343321044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650006622720).

343321044000 is an abundant number, since it is smaller than the sum of its proper divisors (956692201440).

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

343321044000 is a wasteful number, since it uses less digits than its factorization.

343321044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 343321044000 its reverse (440123343), we get a palindrome (343761167343).

The spelling of 343321044000 in words is "three hundred forty-three billion, three hundred twenty-one million, forty-four thousand".