3358666584 has 288 divisors, whose sum is σ = 11576139120. Its totient is φ = 871782912.

The previous prime is 3358666579. The next prime is 3358666607. The reversal of 3358666584 is 4856668533.

It is a happy number.

It is a super-2 number, since 2×3358666584² = 22561282444956458112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3358666584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3072342 + ... + 3073434.

Almost surely, 2^3358666584 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 3358666584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5788069560).

3358666584 is an abundant number, since it is smaller than the sum of its proper divisors (8217472536).

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

3358666584 is a wasteful number, since it uses less digits than its factorization.

3358666584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1185 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The square root of 3358666584 is about 57954.0040376849. The cubic root of 3358666584 is about 1497.5763206281.

The spelling of 3358666584 in words is "three billion, three hundred fifty-eight million, six hundred sixty-six thousand, five hundred eighty-four".