343220333033340 has 240 divisors, whose sum is σ = 1230586582002624. Its totient is φ = 78445380787200.

The previous prime is 343220333033327. The next prime is 343220333033423. The reversal of 343220333033340 is 43330333022343.

343220333033340 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 2 + 0 + 3 + 3 + 303 + 3 + 340 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 343220333033295 and 343220333033304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 179137630 + ... + 181043450.

Almost surely, 2^{343220333033340} is an apocalyptic number.

343220333033340 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 343220333033340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615293291001312).

343220333033340 is an abundant number, since it is smaller than the sum of its proper divisors (887366248969284).

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

343220333033340 is a wasteful number, since it uses less digits than its factorization.

343220333033340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921730 (or 1921719 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 36.

Adding to 343220333033340 its reverse (43330333022343), we get a palindrome (386550666055683).

It can be divided in two parts, 34322033 and 3033340, that added together give a palindrome (37355373).

The spelling of 343220333033340 in words is "three hundred forty-three trillion, two hundred twenty billion, three hundred thirty-three million, thirty-three thousand, three hundred forty".