343314320000 has 640 divisors, whose sum is σ = 953955636480. Its totient is φ = 122470400000.

The previous prime is 343314319967. The next prime is 343314320021. The reversal of 343314320000 is 23413343.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2620719935 + ... + 2620720065.

It is an arithmetic number, because the mean of its divisors is an integer number (1490555682).

Almost surely, 2^343314320000 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 343314320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476977818240).

343314320000 is an abundant number, since it is smaller than the sum of its proper divisors (610641316480).

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

343314320000 is a wasteful number, since it uses less digits than its factorization.

343314320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 343314320000 its reverse (23413343), we get a palindrome (343337733343).

The spelling of 343314320000 in words is "three hundred forty-three billion, three hundred fourteen million, three hundred twenty thousand".