343999836163872 has 384 divisors, whose sum is σ = 1183714652897280. Its totient is φ = 95110396784640.

The previous prime is 343999836163871. The next prime is 343999836163873. The reversal of 343999836163872 is 278361638999343.

343999836163872 is a `hidden beast` number, since 3 + 4 + 3 + 99 + 98 + 3 + 61 + 6 + 387 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (343999836163871) and next prime (343999836163873).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 343999836163791 and 343999836163800.

It is not an unprimeable number, because it can be changed into a prime (343999836163871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5492804623 + ... + 5492867249.

It is an arithmetic number, because the mean of its divisors is an integer number (3082590241920).

Almost surely, 2^{343999836163872} is an apocalyptic number.

343999836163872 is a gapful number since it is divisible by the number (32) 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 343999836163872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591857326448640).

343999836163872 is an abundant number, since it is smaller than the sum of its proper divisors (839714816733408).

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

343999836163872 is a wasteful number, since it uses less digits than its factorization.

343999836163872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91981 (or 91967 counting only the distinct ones).

The product of its digits is 7618738176, while the sum is 81.

The spelling of 343999836163872 in words is "three hundred forty-three trillion, nine hundred ninety-nine billion, eight hundred thirty-six million, one hundred sixty-three thousand, eight hundred seventy-two".