343943106624 has 168 divisors, whose sum is σ = 1079091605592. Its totient is φ = 104093614080.

The previous prime is 343943106589. The next prime is 343943106629. The reversal of 343943106624 is 426601349343.

343943106624 is a `hidden beast` number, since 3 + 4 + 3 + 9 + 4 + 3 + 10 + 6 + 624 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18550440000 + 325392666624 = 136200^2 + 570432^2 .

It is a super-3 number, since 3×343943106624³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 343943106624.

It is not an unprimeable number, because it can be changed into a prime (343943106629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80272 + ... + 833264.

It is an arithmetic number, because the mean of its divisors is an integer number (6423164319).

Almost surely, 2^343943106624 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 343943106624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539545802796).

343943106624 is an abundant number, since it is smaller than the sum of its proper divisors (735148498968).

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

343943106624 is a wasteful number, since it uses less digits than its factorization.

343943106624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753085 (or 753072 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 343943106624 in words is "three hundred forty-three billion, nine hundred forty-three million, one hundred six thousand, six hundred twenty-four".