3924494784 has 336 divisors, whose sum is σ = 13579937280. Its totient is φ = 1059379200.

The previous prime is 3924494753. The next prime is 3924494789. The reversal of 3924494784 is 4874944293.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3924494784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3924494789) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9366127 + ... + 9366545.

It is an arithmetic number, because the mean of its divisors is an integer number (40416480).

Almost surely, 2^3924494784 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 3924494784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6789968640).

3924494784 is an abundant number, since it is smaller than the sum of its proper divisors (9655442496).

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

3924494784 is a wasteful number, since it uses less digits than its factorization.

3924494784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 555 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 3924494784 is about 62645.7882383165. The cubic root of 3924494784 is about 1577.3494501625.

The spelling of 3924494784 in words is "three billion, nine hundred twenty-four million, four hundred ninety-four thousand, seven hundred eighty-four".