343896587834688 has 2016 divisors, whose sum is σ = 1295085778022400. Its totient is φ = 89996344704000.

The previous prime is 343896587834663. The next prime is 343896587834693. The reversal of 343896587834688 is 886438785698343.

343896587834688 is a `hidden beast` number, since 3 + 4 + 3 + 8 + 9 + 65 + 8 + 7 + 83 + 468 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a junction number, because it is equal to n+sod(n) for n = 343896587834598 and 343896587834607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 327208931763 + ... + 327208932813.

Almost surely, 2^{343896587834688} is an apocalyptic number.

343896587834688 is a gapful number since it is divisible by the number (38) 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 343896587834688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647542889011200).

343896587834688 is an abundant number, since it is smaller than the sum of its proper divisors (951189190187712).

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

343896587834688 is an equidigital number, since it uses as much as digits as its factorization.

343896587834688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1113 counting only the distinct ones).

The product of its digits is 160526499840, while the sum is 90.

The spelling of 343896587834688 in words is "three hundred forty-three trillion, eight hundred ninety-six billion, five hundred eighty-seven million, eight hundred thirty-four thousand, six hundred eighty-eight".