343000420224 has 384 divisors, whose sum is σ = 1217060899200. Its totient is φ = 84401049600.

The previous prime is 343000420211. The next prime is 343000420261. The reversal of 343000420224 is 422024000343.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 343000420194 and 343000420203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3888934 + ... + 3976154.

It is an arithmetic number, because the mean of its divisors is an integer number (3169429425).

Almost surely, 2^343000420224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343000420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608530449600).

343000420224 is an abundant number, since it is smaller than the sum of its proper divisors (874060478976).

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

343000420224 is a wasteful number, since it uses less digits than its factorization.

343000420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87282 (or 87263 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 343000420224 its reverse (422024000343), we get a palindrome (765024420567).

The spelling of 343000420224 in words is "three hundred forty-three billion, four hundred twenty thousand, two hundred twenty-four".