3420966745760 has 48 divisors (see below), whose sum is σ = 8099565638472. Its totient is φ = 1365418368000.

The previous prime is 3420966745759. The next prime is 3420966745793. The reversal of 3420966745760 is 675476690243.

It can be written as a sum of positive squares in 4 ways, for example, as 2533203292816 + 887763452944 = 1591604^2 + 942212^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3420966745760.

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 7 ways as a sum of consecutive naturals, for example, 23116091 + ... + 23263610.

Almost surely, 2^{3420966745760} is an apocalyptic number.

It is an amenable number.

3420966745760 is an abundant number, since it is smaller than the sum of its proper divisors (4678598892712).

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

3420966745760 is a wasteful number, since it uses less digits than its factorization.

3420966745760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46380177 (or 46380169 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 59.

The spelling of 3420966745760 in words is "three trillion, four hundred twenty billion, nine hundred sixty-six million, seven hundred forty-five thousand, seven hundred sixty".