3968221825 has 24 divisors (see below), whose sum is σ = 4986183096. Its totient is φ = 3132480000.

The previous prime is 3968221799. The next prime is 3968221849. The reversal of 3968221825 is 5281228693.

It can be written as a sum of positive squares in 12 ways, for example, as 485805681 + 3482416144 = 22041^2 + 59012^2 .

It is not a de Polignac number, because 3968221825 - 2⁵ = 3968221793 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 787815 + ... + 792835.

It is an arithmetic number, because the mean of its divisors is an integer number (207757629).

Almost surely, 2^3968221825 is an apocalyptic number.

It is an amenable number.

3968221825 is a deficient number, since it is larger than the sum of its proper divisors (1017961271).

3968221825 is a wasteful number, since it uses less digits than its factorization.

3968221825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5445 (or 5440 counting only the distinct ones).

The product of its digits is 414720, while the sum is 46.

The square root of 3968221825 is about 62993.8237051856. The cubic root of 3968221825 is about 1583.1861446432.

The spelling of 3968221825 in words is "three billion, nine hundred sixty-eight million, two hundred twenty-one thousand, eight hundred twenty-five".