3420435607680 has 2304 divisors, whose sum is σ = 14766614876160. Its totient is φ = 667188264960.

The previous prime is 3420435607679. The next prime is 3420435607691. The reversal of 3420435607680 is 867065340243.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 26932563777 + ... + 26932563903.

It is an arithmetic number, because the mean of its divisors is an integer number (6409121040).

Almost surely, 2^{3420435607680} is an apocalyptic number.

3420435607680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420435607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7383307438080).

3420435607680 is an abundant number, since it is smaller than the sum of its proper divisors (11346179268480).

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

3420435607680 is a wasteful number, since it uses less digits than its factorization.

3420435607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 3420435607680 in words is "three trillion, four hundred twenty billion, four hundred thirty-five million, six hundred seven thousand, six hundred eighty".