343086541056 has 864 divisors, whose sum is σ = 1249562280960. Its totient is φ = 92432793600.

The previous prime is 343086541051. The next prime is 343086541123. The reversal of 343086541056 is 650145680343.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (343086541051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 430472050 + ... + 430472846.

It is an arithmetic number, because the mean of its divisors is an integer number (1446252640).

Almost surely, 2^343086541056 is an apocalyptic number.

343086541056 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 343086541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624781140480).

343086541056 is an abundant number, since it is smaller than the sum of its proper divisors (906475739904).

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

343086541056 is a wasteful number, since it uses less digits than its factorization.

343086541056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 881 counting only the distinct ones).

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

The spelling of 343086541056 in words is "three hundred forty-three billion, eighty-six million, five hundred forty-one thousand, fifty-six".