3868679040 has 256 divisors, whose sum is σ = 12899589120. Its totient is φ = 985227264.

The previous prime is 3868678999. The next prime is 3868679063. The reversal of 3868679040 is 409768683.

3868679040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3879822 + ... + 3880818.

It is an arithmetic number, because the mean of its divisors is an integer number (50389020).

Almost surely, 2^3868679040 is an apocalyptic number.

3868679040 is a gapful number since it is divisible by the number (30) 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 3868679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6449794560).

3868679040 is an abundant number, since it is smaller than the sum of its proper divisors (9030910080).

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

3868679040 is a wasteful number, since it uses less digits than its factorization.

3868679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 3868679040 is about 62198.7060958667. The cubic root of 3868679040 is about 1569.8358166039.

The spelling of 3868679040 in words is "three billion, eight hundred sixty-eight million, six hundred seventy-nine thousand, forty".