3413321184 has 144 divisors (see below), whose sum is σ = 11224776528. Its totient is φ = 900200448.

The previous prime is 3413321167. The next prime is 3413321189. The reversal of 3413321184 is 4811233143.

It is a happy number.

3413321184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413321189) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33244 + ... + 89060.

It is an arithmetic number, because the mean of its divisors is an integer number (77949837).

Almost surely, 2^3413321184 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 3413321184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5612388264).

3413321184 is an abundant number, since it is smaller than the sum of its proper divisors (7811455344).

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

3413321184 is a wasteful number, since it uses less digits than its factorization.

3413321184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55857 (or 55842 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 3413321184 is about 58423.6354911264. The cubic root of 3413321184 is about 1505.6558598075.

The spelling of 3413321184 in words is "three billion, four hundred thirteen million, three hundred twenty-one thousand, one hundred eighty-four".