3413059584 has 144 divisors (see below), whose sum is σ = 10003855680. Its totient is φ = 1034035200.

The previous prime is 3413059577. The next prime is 3413059591. The reversal of 3413059584 is 4859503143.

It is an interprime number because it is at equal distance from previous prime (3413059577) and next prime (3413059591).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 741129 + ... + 745719.

It is an arithmetic number, because the mean of its divisors is an integer number (69471220).

Almost surely, 2^3413059584 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 3413059584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5001927840).

3413059584 is an abundant number, since it is smaller than the sum of its proper divisors (6590796096).

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

3413059584 is a wasteful number, since it uses less digits than its factorization.

3413059584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 3413059584 is about 58421.3966282902. The cubic root of 3413059584 is about 1505.6173938858.

The spelling of 3413059584 in words is "three billion, four hundred thirteen million, fifty-nine thousand, five hundred eighty-four".