343411414021000 has 256 divisors, whose sum is σ = 919473223032000. Its totient is φ = 119339328921600.

The previous prime is 343411414020971. The next prime is 343411414021019. The reversal of 343411414021000 is 120414114343.

It can be written as a sum of positive squares in 32 ways, for example, as 166223208846564 + 177188205174436 = 12892758^2 + 13311206^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 343411414021000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61180596 + ... + 66557404.

Almost surely, 2^{343411414021000} 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 343411414021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459736611516000).

343411414021000 is an abundant number, since it is smaller than the sum of its proper divisors (576061809011000).

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

343411414021000 is a wasteful number, since it uses less digits than its factorization.

343411414021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5376894 (or 5376846 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 343411414021000 its reverse (120414114343), we get a palindrome (343531828135343).

The spelling of 343411414021000 in words is "three hundred forty-three trillion, four hundred eleven billion, four hundred fourteen million, twenty-one thousand".