3948110049564 has 48 divisors (see below), whose sum is σ = 10236918615840. Its totient is φ = 1315898115840.

The previous prime is 3948110049551. The next prime is 3948110049593. The reversal of 3948110049564 is 4659400118493.

3948110049564 is a `hidden beast` number, since 3 + 9 + 4 + 81 + 10 + 0 + 495 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3948110049564.

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 15 ways as a sum of consecutive naturals, for example, 891519 + ... + 2948054.

It is an arithmetic number, because the mean of its divisors is an integer number (213269137830).

Almost surely, 2^{3948110049564} is an apocalyptic number.

It is an amenable number.

3948110049564 is an abundant number, since it is smaller than the sum of its proper divisors (6288808566276).

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

3948110049564 is a wasteful number, since it uses less digits than its factorization.

3948110049564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849107 (or 3849099 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 3948110049564 in words is "three trillion, nine hundred forty-eight billion, one hundred ten million, forty-nine thousand, five hundred sixty-four".