3413130084 has 243 divisors, whose sum is σ = 10970147097. Its totient is φ = 891753408.

The previous prime is 3413130073. The next prime is 3413130121. The reversal of 3413130084 is 4800313143.

The square root of 3413130084 is 58422.

It is a perfect power (a square), and thus also a powerful number.

3413130084 is a `hidden beast` number, since 341 + 313 + 0 + 0 + 8 + 4 = 666.

3413130084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 504900900 + 2908229184 = 22470^2 + 53928^2 .

It is a super-3 number, since 3×3413130084³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 31898359 + ... + 31898465.

Almost surely, 2^3413130084 is an apocalyptic number.

3413130084 is the 58422-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413130084

3413130084 is an abundant number, since it is smaller than the sum of its proper divisors (7557017013).

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

3413130084 is a wasteful number, since it uses less digits than its factorization.

3413130084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 3413130084 is about 1505.6277604687.

The spelling of 3413130084 in words is "three billion, four hundred thirteen million, one hundred thirty thousand, eighty-four".