3880568160 has 288 divisors, whose sum is σ = 15458107392. Its totient is φ = 868008960.

The previous prime is 3880568149. The next prime is 3880568161. The reversal of 3880568160 is 618650883.

3880568160 is a `hidden beast` number, since 3 + 8 + 80 + 568 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3880568161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469665 + ... + 477855.

It is an arithmetic number, because the mean of its divisors is an integer number (53673984).

Almost surely, 2^3880568160 is an apocalyptic number.

3880568160 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 3880568160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7729053696).

3880568160 is an abundant number, since it is smaller than the sum of its proper divisors (11577539232).

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

3880568160 is a wasteful number, since it uses less digits than its factorization.

3880568160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8266 (or 8255 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 3880568160 is about 62294.2064721913. The cubic root of 3880568160 is about 1571.4422977471.

The spelling of 3880568160 in words is "three billion, eight hundred eighty million, five hundred sixty-eight thousand, one hundred sixty".