343953485568 has 720 divisors, whose sum is σ = 1320116582400. Its totient is φ = 86444236800.

The previous prime is 343953485543. The next prime is 343953485639. The reversal of 343953485568 is 865584359343.

It is a happy number.

343953485568 is a `hidden beast` number, since 3 + 4 + 3 + 95 + 3 + 485 + 5 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 49493358 + ... + 49500306.

Almost surely, 2^343953485568 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 343953485568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660058291200).

343953485568 is an abundant number, since it is smaller than the sum of its proper divisors (976163096832).

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

343953485568 is a wasteful number, since it uses less digits than its factorization.

343953485568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7026 (or 7003 counting only the distinct ones).

The product of its digits is 186624000, while the sum is 63.

The spelling of 343953485568 in words is "three hundred forty-three billion, nine hundred fifty-three million, four hundred eighty-five thousand, five hundred sixty-eight".