3961824768 has 240 divisors, whose sum is σ = 12746612736. Its totient is φ = 1174302720.

The previous prime is 3961824761. The next prime is 3961824809. The reversal of 3961824768 is 8674281693.

3961824768 is a `hidden beast` number, since 3 + 96 + 1 + 82 + 476 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3961824761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2381505 + ... + 2383167.

Almost surely, 2^3961824768 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 3961824768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6373306368).

3961824768 is an abundant number, since it is smaller than the sum of its proper divisors (8784787968).

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

3961824768 is a wasteful number, since it uses less digits than its factorization.

3961824768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1726 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 3961824768 is about 62943.0279538568. The cubic root of 3961824768 is about 1582.3349507043.

The spelling of 3961824768 in words is "three billion, nine hundred sixty-one million, eight hundred twenty-four thousand, seven hundred sixty-eight".