3434421410420 has 432 divisors, whose sum is σ = 9977369996160. Its totient is φ = 971329582080.

The previous prime is 3434421410359. The next prime is 3434421410443. The reversal of 3434421410420 is 240141244343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 168898574 + ... + 168918906.

It is an arithmetic number, because the mean of its divisors is an integer number (23095763880).

Almost surely, 2^{3434421410420} 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 3434421410420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988684998080).

3434421410420 is an abundant number, since it is smaller than the sum of its proper divisors (6542948585740).

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

3434421410420 is a wasteful number, since it uses less digits than its factorization.

3434421410420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20456 (or 20430 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 3434421410420 its reverse (240141244343), we get a palindrome (3674562654763).

The spelling of 3434421410420 in words is "three trillion, four hundred thirty-four billion, four hundred twenty-one million, four hundred ten thousand, four hundred twenty".