343411343241120 has 576 divisors, whose sum is σ = 1509874682238720. Its totient is φ = 71358200432640.

The previous prime is 343411343241103. The next prime is 343411343241163. The reversal of 343411343241120 is 21142343114343.

343411343241120 is a `hidden beast` number, since 3 + 4 + 341 + 13 + 43 + 241 + 1 + 20 = 666.

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

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, 43267387 + ... + 50585466.

It is an arithmetic number, because the mean of its divisors is an integer number (2621310212220).

Almost surely, 2^{343411343241120} is an apocalyptic number.

343411343241120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343411343241120 is an abundant number, since it is smaller than the sum of its proper divisors (1166463338997600).

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

343411343241120 is a wasteful number, since it uses less digits than its factorization.

343411343241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93852906 (or 93852881 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 343411343241120 its reverse (21142343114343), we get a palindrome (364553686355463).

The spelling of 343411343241120 in words is "three hundred forty-three trillion, four hundred eleven billion, three hundred forty-three million, two hundred forty-one thousand, one hundred twenty".