343505411424 has 288 divisors, whose sum is σ = 1233459601920. Its totient is φ = 88354861056.

The previous prime is 343505411399. The next prime is 343505411429. The reversal of 343505411424 is 424114505343.

343505411424 is a `hidden beast` number, since 3 + 4 + 3 + 505 + 4 + 1 + 142 + 4 = 666.

343505411424 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343505411429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 570367 + ... + 1006145.

It is an arithmetic number, because the mean of its divisors is an integer number (4282845840).

Almost surely, 2^343505411424 is an apocalyptic number.

343505411424 is a gapful number since it is divisible by the number (34) 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 343505411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616729800960).

343505411424 is an abundant number, since it is smaller than the sum of its proper divisors (889954190496).

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

343505411424 is a wasteful number, since it uses less digits than its factorization.

343505411424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435842 (or 435831 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 343505411424 its reverse (424114505343), we get a palindrome (767619916767).

The spelling of 343505411424 in words is "three hundred forty-three billion, five hundred five million, four hundred eleven thousand, four hundred twenty-four".