3413365760 has 88 divisors (see below), whose sum is σ = 9357901440. Its totient is φ = 1170284544.

The previous prime is 3413365733. The next prime is 3413365771. The reversal of 3413365760 is 675633143.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11780 + ... + 83459.

Almost surely, 2^3413365760 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 3413365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678950720).

3413365760 is an abundant number, since it is smaller than the sum of its proper divisors (5944535680).

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

3413365760 is an equidigital number, since it uses as much as digits as its factorization.

3413365760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95271 (or 95253 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 38.

The square root of 3413365760 is about 58424.0169793211. The cubic root of 3413365760 is about 1505.6624141104.

The spelling of 3413365760 in words is "three billion, four hundred thirteen million, three hundred sixty-five thousand, seven hundred sixty".