3430210220424 has 144 divisors (see below), whose sum is σ = 10152046347300. Its totient is φ = 1045765873152.

The previous prime is 3430210220419. The next prime is 3430210220441. The reversal of 3430210220424 is 4240220120343.

3430210220424 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 2 + 10 + 220 + 424 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 592730612100 + 2837479608324 = 769890^2 + 1684482^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33174 + ... + 2619450.

Almost surely, 2^{3430210220424} 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 3430210220424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076023173650).

3430210220424 is an abundant number, since it is smaller than the sum of its proper divisors (6721836126876).

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

3430210220424 is a wasteful number, since it uses less digits than its factorization.

3430210220424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586424 (or 2586404 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 3430210220424 its reverse (4240220120343), we get a palindrome (7670430340767).

The spelling of 3430210220424 in words is "three trillion, four hundred thirty billion, two hundred ten million, two hundred twenty thousand, four hundred twenty-four".