3382543584 has 384 divisors, whose sum is σ = 12070840320. Its totient is φ = 899555328.

The previous prime is 3382543561. The next prime is 3382543621. The reversal of 3382543584 is 4853452833.

3382543584 is a `hidden beast` number, since 3 + 3 + 8 + 25 + 43 + 584 = 666.

It is a super-2 number, since 2×3382543584² = 22883202195319130112, 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 63 ways as a sum of consecutive naturals, for example, 17170174 + ... + 17170370.

It is an arithmetic number, because the mean of its divisors is an integer number (31434480).

Almost surely, 2^3382543584 is an apocalyptic number.

3382543584 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3382543584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035420160).

3382543584 is an abundant number, since it is smaller than the sum of its proper divisors (8688296736).

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

3382543584 is a wasteful number, since it uses less digits than its factorization.

3382543584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 393 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 3382543584 is about 58159.6387884244. The cubic root of 3382543584 is about 1501.1167363936.

The spelling of 3382543584 in words is "three billion, three hundred eighty-two million, five hundred forty-three thousand, five hundred eighty-four".