3979633872825 has 108 divisors (see below), whose sum is σ = 7726825803060. Its totient is φ = 1957078056960.

The previous prime is 3979633872793. The next prime is 3979633872869. The reversal of 3979633872825 is 5282783369793.

3979633872825 is a `hidden beast` number, since 3 + 9 + 7 + 9 + 6 + 338 + 7 + 282 + 5 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 3669737910336 + 309895962489 = 1915656^2 + 556683^2 .

It is not a de Polignac number, because 3979633872825 - 2⁵ = 3979633872793 is a prime.

It is a super-2 number, since 2×3979633872825² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 35268897 + ... + 35381553.

Almost surely, 2^{3979633872825} is an apocalyptic number.

It is an amenable number.

3979633872825 is a deficient number, since it is larger than the sum of its proper divisors (3747191930235).

3979633872825 is a wasteful number, since it uses less digits than its factorization.

3979633872825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113628 (or 113607 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 72.

The spelling of 3979633872825 in words is "three trillion, nine hundred seventy-nine billion, six hundred thirty-three million, eight hundred seventy-two thousand, eight hundred twenty-five".