343458318816 has 72 divisors (see below), whose sum is σ = 1010389259880. Its totient is φ = 110538306816.

The previous prime is 343458318811. The next prime is 343458318851. The reversal of 343458318816 is 618813854343.

343458318816 is a `hidden beast` number, since 3 + 4 + 3 + 458 + 3 + 188 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343458318811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20553090 + ... + 20569793.

It is an arithmetic number, because the mean of its divisors is an integer number (14033184165).

Almost surely, 2^343458318816 is an apocalyptic number.

343458318816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

343458318816 is an abundant number, since it is smaller than the sum of its proper divisors (666930941064).

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

343458318816 is a wasteful number, since it uses less digits than its factorization.

343458318816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41122928 (or 41122917 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 343458318816 in words is "three hundred forty-three billion, four hundred fifty-eight million, three hundred eighteen thousand, eight hundred sixteen".