3879888480 has 432 divisors, whose sum is σ = 14568044400. Its totient is φ = 939773952.

The previous prime is 3879888449. The next prime is 3879888539. The reversal of 3879888480 is 848889783.

3879888480 is a `hidden beast` number, since 3 + 8 + 79 + 8 + 88 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26039446 + ... + 26039594.

It is an arithmetic number, because the mean of its divisors is an integer number (33722325).

Almost surely, 2^3879888480 is an apocalyptic number.

3879888480 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 3879888480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7284022200).

3879888480 is an abundant number, since it is smaller than the sum of its proper divisors (10688155920).

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

3879888480 is a wasteful number, since it uses less digits than its factorization.

3879888480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The square root of 3879888480 is about 62288.7508303064. The cubic root of 3879888480 is about 1571.3505465549.

The spelling of 3879888480 in words is "three billion, eight hundred seventy-nine million, eight hundred eighty-eight thousand, four hundred eighty".