343120748544 has 840 divisors, whose sum is σ = 1218974428188. Its totient is φ = 95869992960.

The previous prime is 343120748527. The next prime is 343120748557. The reversal of 343120748544 is 445847021343.

343120748544 is a `hidden beast` number, since 3 + 4 + 3 + 120 + 7 + 485 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 341803929600 + 1316818944 = 584640^2 + 36288^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 343120748544.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1983356842 + ... + 1983357014.

Almost surely, 2^343120748544 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 343120748544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609487214094).

343120748544 is an abundant number, since it is smaller than the sum of its proper divisors (875853679644).

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

343120748544 is an equidigital number, since it uses as much as digits as its factorization.

343120748544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

Adding to 343120748544 its reverse (445847021343), we get a palindrome (788967769887).

The spelling of 343120748544 in words is "three hundred forty-three billion, one hundred twenty million, seven hundred forty-eight thousand, five hundred forty-four".