343343544768 has 448 divisors, whose sum is σ = 1254457313280. Its totient is φ = 89830342656.

The previous prime is 343343544743. The next prime is 343343544787. The reversal of 343343544768 is 867445343343.

343343544768 is a `hidden beast` number, since 3 + 4 + 3 + 34 + 3 + 544 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 7585821 + ... + 7630947.

Almost surely, 2^343343544768 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 343343544768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627228656640).

343343544768 is an abundant number, since it is smaller than the sum of its proper divisors (911113768512).

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

343343544768 is a wasteful number, since it uses less digits than its factorization.

343343544768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45209 (or 45193 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 54.

It can be divided in two parts, 3433435 and 44768, that added together give a triangular number (3478203 = T₂₆₃₇).

The spelling of 343343544768 in words is "three hundred forty-three billion, three hundred forty-three million, five hundred forty-four thousand, seven hundred sixty-eight".