3384584064 has 96 divisors (see below), whose sum is σ = 9804497040. Its totient is φ = 1120665600.

The previous prime is 3384584039. The next prime is 3384584101. The reversal of 3384584064 is 4604854833.

3384584064 is a `hidden beast` number, since 3 + 3 + 8 + 4 + 584 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3384584064² = 22910818572565512192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164224 + ... + 183680.

Almost surely, 2^3384584064 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 3384584064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4902248520).

3384584064 is an abundant number, since it is smaller than the sum of its proper divisors (6419912976).

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

3384584064 is a wasteful number, since it uses less digits than its factorization.

3384584064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19628 (or 19613 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 3384584064 is about 58177.1782058910. The cubic root of 3384584064 is about 1501.4185194455.

The spelling of 3384584064 in words is "three billion, three hundred eighty-four million, five hundred eighty-four thousand, sixty-four".