3993220584 has 96 divisors (see below), whose sum is σ = 11219644800. Its totient is φ = 1282095360.

The previous prime is 3993220573. The next prime is 3993220589. The reversal of 3993220584 is 4850223993.

It is a happy number.

3993220584 is a `hidden beast` number, since 39 + 9 + 32 + 2 + 0 + 584 = 666.

It is not an unprimeable number, because it can be changed into a prime (3993220589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224647 + ... + 241769.

It is an arithmetic number, because the mean of its divisors is an integer number (116871300).

Almost surely, 2^3993220584 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 3993220584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5609822400).

3993220584 is an abundant number, since it is smaller than the sum of its proper divisors (7226424216).

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

3993220584 is a wasteful number, since it uses less digits than its factorization.

3993220584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17255 (or 17248 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3993220584 is about 63191.9344853439. The cubic root of 3993220584 is about 1586.5037404990.

It can be divided in two parts, 39932 and 20584, that added together give a square (60516 = 246²).

The spelling of 3993220584 in words is "three billion, nine hundred ninety-three million, two hundred twenty thousand, five hundred eighty-four".