343421718612480 has 960 divisors, whose sum is σ = 1284313749507360. Its totient is φ = 84485181800448.

The previous prime is 343421718612449. The next prime is 343421718612491. The reversal of 343421718612480 is 84216817124343.

343421718612480 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 2 + 1 + 7 + 18 + 612 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 80902397419776 + 262519321192704 = 8994576^2 + 16202448^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23436948834 + ... + 23436963486.

Almost surely, 2^{343421718612480} is an apocalyptic number.

343421718612480 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 343421718612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642156874753680).

343421718612480 is an abundant number, since it is smaller than the sum of its proper divisors (940892030894880).

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

343421718612480 is a wasteful number, since it uses less digits than its factorization.

343421718612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15881 (or 15862 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 343421718612480 in words is "three hundred forty-three trillion, four hundred twenty-one billion, seven hundred eighteen million, six hundred twelve thousand, four hundred eighty".