343101216268800 has 6720 divisors, whose sum is σ = 1569766684502016. Its totient is φ = 73259325849600.

The previous prime is 343101216268747. The next prime is 343101216268801. The reversal of 343101216268800 is 8862612101343.

343101216268800 is a `hidden beast` number, since 3 + 4 + 3 + 1 + 0 + 12 + 1 + 626 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (343101216268801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 3331079769549 + ... + 3331079769651.

Almost surely, 2^{343101216268800} is an apocalyptic number.

343101216268800 is a gapful number since it is divisible by the number (30) 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 343101216268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784883342251008).

343101216268800 is an abundant number, since it is smaller than the sum of its proper divisors (1226665468233216).

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

343101216268800 is a wasteful number, since it uses less digits than its factorization.

343101216268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 343101216268800 in words is "three hundred forty-three trillion, one hundred one billion, two hundred sixteen million, two hundred sixty-eight thousand, eight hundred".