3948473664 has 84 divisors (see below), whose sum is σ = 11809695456. Its totient is φ = 1258929408.

The previous prime is 3948473663. The next prime is 3948473677. The reversal of 3948473664 is 4663748493.

3948473664 is a `hidden beast` number, since 39 + 484 + 73 + 6 + 64 = 666.

3948473664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3948473664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3948473663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135774 + ... + 162269.

Almost surely, 2^3948473664 is an apocalyptic number.

It is an amenable number.

3948473664 is an abundant number, since it is smaller than the sum of its proper divisors (7861221792).

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

3948473664 is a wasteful number, since it uses less digits than its factorization.

3948473664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298084 (or 298071 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The square root of 3948473664 is about 62836.8813993820. The cubic root of 3948473664 is about 1580.5554934029. Note that the first 3 decimals are identical.

The spelling of 3948473664 in words is "three billion, nine hundred forty-eight million, four hundred seventy-three thousand, six hundred sixty-four".