3446420435328 has 256 divisors, whose sum is σ = 10197321039360. Its totient is φ = 1024522076160.

The previous prime is 3446420435323. The next prime is 3446420435377. The reversal of 3446420435328 is 8235340246443.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3446420435323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20999475 + ... + 21162957.

It is an arithmetic number, because the mean of its divisors is an integer number (39833285310).

Almost surely, 2^{3446420435328} 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 3446420435328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098660519680).

3446420435328 is an abundant number, since it is smaller than the sum of its proper divisors (6750900604032).

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

3446420435328 is a wasteful number, since it uses less digits than its factorization.

3446420435328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163657 (or 163645 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 48.

The spelling of 3446420435328 in words is "three trillion, four hundred forty-six billion, four hundred twenty million, four hundred thirty-five thousand, three hundred twenty-eight".