3878679168 has 320 divisors, whose sum is σ = 14210085120. Its totient is φ = 1022699520.

The previous prime is 3878679157. The next prime is 3878679169. The reversal of 3878679168 is 8619768783.

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 (3878679169) 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 39 ways as a sum of consecutive naturals, for example, 941433 + ... + 945543.

It is an arithmetic number, because the mean of its divisors is an integer number (44406516).

Almost surely, 2^3878679168 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 3878679168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7105042560).

3878679168 is an abundant number, since it is smaller than the sum of its proper divisors (10331405952).

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

3878679168 is a wasteful number, since it uses less digits than its factorization.

3878679168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157 (or 4136 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The square root of 3878679168 is about 62279.0427672102. The cubic root of 3878679168 is about 1571.1872729158.

The spelling of 3878679168 in words is "three billion, eight hundred seventy-eight million, six hundred seventy-nine thousand, one hundred sixty-eight".