3420435355520 has 128 divisors (see below), whose sum is σ = 8268627225600. Its totient is φ = 1352864563200.

The previous prime is 3420435355511. The next prime is 3420435355523. The reversal of 3420435355520 is 255535340243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420435355523) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 71430146 + ... + 71478014.

It is an arithmetic number, because the mean of its divisors is an integer number (64598650200).

Almost surely, 2^{3420435355520} 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 3420435355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134313612800).

3420435355520 is an abundant number, since it is smaller than the sum of its proper divisors (4848191870080).

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

3420435355520 is a wasteful number, since it uses less digits than its factorization.

3420435355520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49136 (or 49124 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 41.

The spelling of 3420435355520 in words is "three trillion, four hundred twenty billion, four hundred thirty-five million, three hundred fifty-five thousand, five hundred twenty".