3947459328 has 108 divisors (see below), whose sum is σ = 11568492208. Its totient is φ = 1294202880.

The previous prime is 3947459317. The next prime is 3947459353. The reversal of 3947459328 is 8239547493.

3947459328 is a `hidden beast` number, since 3 + 9 + 47 + 4 + 593 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126501 + ... + 154587.

Almost surely, 2^3947459328 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 3947459328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784246104).

3947459328 is an abundant number, since it is smaller than the sum of its proper divisors (7621032880).

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

3947459328 is a wasteful number, since it uses less digits than its factorization.

3947459328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28170 (or 28153 counting only the distinct ones).

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

The square root of 3947459328 is about 62828.8096974628. The cubic root of 3947459328 is about 1580.4201371633.

The spelling of 3947459328 in words is "three billion, nine hundred forty-seven million, four hundred fifty-nine thousand, three hundred twenty-eight".