3927711648 has 48 divisors (see below), whose sum is σ = 11783136960. Its totient is φ = 1122203136.

The previous prime is 3927711631. The next prime is 3927711677. The reversal of 3927711648 is 8461177293.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3927711597 and 3927711606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2921733 + ... + 2923076.

It is an arithmetic number, because the mean of its divisors is an integer number (245482020).

Almost surely, 2^3927711648 is an apocalyptic number.

It is an amenable number.

3927711648 is an abundant number, since it is smaller than the sum of its proper divisors (7855425312).

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

3927711648 is a wasteful number, since it uses less digits than its factorization.

3927711648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844829 (or 5844821 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 3927711648 is about 62671.4580012305. The cubic root of 3927711648 is about 1577.7803109630.

The spelling of 3927711648 in words is "three billion, nine hundred twenty-seven million, seven hundred eleven thousand, six hundred forty-eight".