3872875680 has 144 divisors (see below), whose sum is σ = 13705814304. Its totient is φ = 1032756480.

The previous prime is 3872875661. The next prime is 3872875693. The reversal of 3872875680 is 865782783.

3872875680 is a `hidden beast` number, since 3 + 8 + 72 + 8 + 7 + 568 + 0 = 666.

3872875680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10926 + ... + 88685.

It is an arithmetic number, because the mean of its divisors is an integer number (95179266).

Almost surely, 2^3872875680 is an apocalyptic number.

3872875680 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 3872875680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6852907152).

3872875680 is an abundant number, since it is smaller than the sum of its proper divisors (9832938624).

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

3872875680 is an equidigital number, since it uses as much as digits as its factorization.

3872875680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99641 (or 99621 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 3872875680 is about 62232.4327019280. The cubic root of 3872875680 is about 1570.4032501708.

The spelling of 3872875680 in words is "three billion, eight hundred seventy-two million, eight hundred seventy-five thousand, six hundred eighty".