3973826304 has 270 divisors, whose sum is σ = 13787323704. Its totient is φ = 1135088640.

The previous prime is 3973826291. The next prime is 3973826333. The reversal of 3973826304 is 4036283793.

3973826304 is a `hidden beast` number, since 3 + 9 + 7 + 3 + 8 + 2 + 630 + 4 = 666.

3973826304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3973826304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1014109 + ... + 1018019.

Almost surely, 2^3973826304 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 3973826304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6893661852).

3973826304 is an abundant number, since it is smaller than the sum of its proper divisors (9813497400).

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

3973826304 is an equidigital number, since it uses as much as digits as its factorization.

3973826304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3953 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3973826304 is about 63038.2923626584. The cubic root of 3973826304 is about 1583.9311264820.

The spelling of 3973826304 in words is "three billion, nine hundred seventy-three million, eight hundred twenty-six thousand, three hundred four".