3959104456125 has 384 divisors, whose sum is σ = 9192950807040. Its totient is φ = 1666482854400.

The previous prime is 3959104456061. The next prime is 3959104456147. The reversal of 3959104456125 is 5216544019593.

It is a happy number.

3959104456125 is a `hidden beast` number, since 3 + 9 + 5 + 9 + 10 + 4 + 4 + 5 + 612 + 5 = 666.

It is not a de Polignac number, because 3959104456125 - 2⁶ = 3959104456061 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 952392547 + ... + 952396703.

It is an arithmetic number, because the mean of its divisors is an integer number (23939976060).

Almost surely, 2^{3959104456125} is an apocalyptic number.

3959104456125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3959104456125 is an abundant number, since it is smaller than the sum of its proper divisors (5233846350915).

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

3959104456125 is a wasteful number, since it uses less digits than its factorization.

3959104456125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4651 (or 4628 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 3959104456125 in words is "three trillion, nine hundred fifty-nine billion, one hundred four million, four hundred fifty-six thousand, one hundred twenty-five".