3879646848 has 512 divisors, whose sum is σ = 14570496000. Its totient is φ = 987033600.

The previous prime is 3879646847. The next prime is 3879646873. The reversal of 3879646848 is 8486469783.

3879646848 is a `hidden beast` number, since 3 + 87 + 96 + 468 + 4 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3879646843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16232713 + ... + 16232951.

It is an arithmetic number, because the mean of its divisors is an integer number (28458000).

Almost surely, 2^3879646848 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 3879646848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7285248000).

3879646848 is an abundant number, since it is smaller than the sum of its proper divisors (10690849152).

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

3879646848 is a wasteful number, since it uses less digits than its factorization.

3879646848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 323 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The square root of 3879646848 is about 62286.8111882443. The cubic root of 3879646848 is about 1571.3179256467.

The spelling of 3879646848 in words is "three billion, eight hundred seventy-nine million, six hundred forty-six thousand, eight hundred forty-eight".