3915271666404 has 432 divisors, whose sum is σ = 11822340531456. Its totient is φ = 1089075456000.

The previous prime is 3915271666349. The next prime is 3915271666417. The reversal of 3915271666404 is 4046661725193.

It is a happy number.

3915271666404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4007442364 + ... + 4007443340.

It is an arithmetic number, because the mean of its divisors is an integer number (27366529008).

Almost surely, 2^{3915271666404} 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 3915271666404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5911170265728).

3915271666404 is an abundant number, since it is smaller than the sum of its proper divisors (7907068865052).

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

3915271666404 is a wasteful number, since it uses less digits than its factorization.

3915271666404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3915271666404 in words is "three trillion, nine hundred fifteen billion, two hundred seventy-one million, six hundred sixty-six thousand, four hundred four".