3430830484224 has 2268 divisors, whose sum is σ = 13050135645120. Its totient is φ = 896690995200.

The previous prime is 3430830484189. The next prime is 3430830484229. The reversal of 3430830484224 is 4224840380343.

3430830484224 is a `hidden beast` number, since 3 + 43 + 0 + 8 + 304 + 84 + 224 = 666.

3430830484224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3430830484224² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3430830484224.

It is not an unprimeable number, because it can be changed into a prime (3430830484229) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 110671951089 + ... + 110671951119.

Almost surely, 2^{3430830484224} 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 3430830484224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6525067822560).

3430830484224 is an abundant number, since it is smaller than the sum of its proper divisors (9619305160896).

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

3430830484224 is a wasteful number, since it uses less digits than its factorization.

3430830484224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 3430830484224 in words is "three trillion, four hundred thirty billion, eight hundred thirty million, four hundred eighty-four thousand, two hundred twenty-four".