3947028864 has 64 divisors (see below), whose sum is σ = 10553882880. Its totient is φ = 1306944000.

The previous prime is 3947028857. The next prime is 3947028887. The reversal of 3947028864 is 4688207493.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23949 + ... + 92019.

It is an arithmetic number, because the mean of its divisors is an integer number (164904420).

Almost surely, 2^3947028864 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 3947028864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276941440).

3947028864 is an abundant number, since it is smaller than the sum of its proper divisors (6606854016).

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

3947028864 is a wasteful number, since it uses less digits than its factorization.

3947028864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68239 (or 68227 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The square root of 3947028864 is about 62825.3839144657. The cubic root of 3947028864 is about 1580.3626876624.

The spelling of 3947028864 in words is "three billion, nine hundred forty-seven million, twenty-eight thousand, eight hundred sixty-four".