340434022432224 has 384 divisors, whose sum is σ = 1071263910592512. Its totient is φ = 92621526865920.

The previous prime is 340434022432213. The next prime is 340434022432237. The reversal of 340434022432224 is 422234220434043.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 336368989 + ... + 337379555.

It is an arithmetic number, because the mean of its divisors is an integer number (2789749767168).

Almost surely, 2^{340434022432224} 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 340434022432224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535631955296256).

340434022432224 is an abundant number, since it is smaller than the sum of its proper divisors (730829888160288).

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

340434022432224 is a wasteful number, since it uses less digits than its factorization.

340434022432224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010878 (or 1010870 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 39.

Adding to 340434022432224 its reverse (422234220434043), we get a palindrome (762668242866267).

The spelling of 340434022432224 in words is "three hundred forty trillion, four hundred thirty-four billion, twenty-two million, four hundred thirty-two thousand, two hundred twenty-four".