343456875216 has 600 divisors, whose sum is σ = 1258442345160. Its totient is φ = 89627295744.

The previous prime is 343456875199. The next prime is 343456875227. The reversal of 343456875216 is 612578654343.

343456875216 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 568 + 75 + 2 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62870547600 + 280586327616 = 250740^2 + 529704^2 .

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 119 ways as a sum of consecutive naturals, for example, 80076400 + ... + 80080688.

Almost surely, 2^343456875216 is an apocalyptic number.

343456875216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343456875216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629221172580).

343456875216 is an abundant number, since it is smaller than the sum of its proper divisors (914985469944).

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

343456875216 is a wasteful number, since it uses less digits than its factorization.

343456875216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4433 (or 4411 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 343456875216 in words is "three hundred forty-three billion, four hundred fifty-six million, eight hundred seventy-five thousand, two hundred sixteen".