343012382125056 has 880 divisors, whose sum is σ = 1176957263623680. Its totient is φ = 97877808414720.

The previous prime is 343012382124917. The next prime is 343012382125073. The reversal of 343012382125056 is 650521283210343.

343012382125056 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 12 + 382 + 1 + 250 + 5 + 6 = 666.

It is a super-2 number, since 2×343012382125056² (a number of 30 digits) contains 22 as substring.

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, 213183580380 + ... + 213183581988.

It is an arithmetic number, because the mean of its divisors is an integer number (1337451435936).

Almost surely, 2^{343012382125056} is an apocalyptic number.

343012382125056 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 343012382125056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588478631811840).

343012382125056 is an abundant number, since it is smaller than the sum of its proper divisors (833944881498624).

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

343012382125056 is an frugal number, since it uses more digits than its factorization.

343012382125056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 343012382125056 in words is "three hundred forty-three trillion, twelve billion, three hundred eighty-two million, one hundred twenty-five thousand, fifty-six".