3879864576 has 576 divisors, whose sum is σ = 14304729600. Its totient is φ = 1012137984.

The previous prime is 3879864553. The next prime is 3879864589. The reversal of 3879864576 is 6754689783.

3879864576 is a `hidden beast` number, since 38 + 79 + 86 + 457 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43593940 + ... + 43594028.

It is an arithmetic number, because the mean of its divisors is an integer number (24834600).

Almost surely, 2^3879864576 is an apocalyptic number.

3879864576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3879864576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7152364800).

3879864576 is an abundant number, since it is smaller than the sum of its proper divisors (10424865024).

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

3879864576 is a wasteful number, since it uses less digits than its factorization.

3879864576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The square root of 3879864576 is about 62288.5589494572. The cubic root of 3879864576 is about 1571.3473195171.

The spelling of 3879864576 in words is "three billion, eight hundred seventy-nine million, eight hundred sixty-four thousand, five hundred seventy-six".