3887095680 has 768 divisors, whose sum is σ = 15745242240. Its totient is φ = 875888640.

The previous prime is 3887095669. The next prime is 3887095699. The reversal of 3887095680 is 865907883.

It is a happy number.

3887095680 is a `hidden beast` number, since 3 + 8 + 8 + 70 + 9 + 568 + 0 = 666.

3887095680 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 95 ways as a sum of consecutive naturals, for example, 63722850 + ... + 63722910.

Almost surely, 2^3887095680 is an apocalyptic number.

3887095680 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 3887095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7872621120).

3887095680 is an abundant number, since it is smaller than the sum of its proper divisors (11858146560).

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

3887095680 is a wasteful number, since it uses less digits than its factorization.

3887095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 3887095680 is about 62346.5771313871. The cubic root of 3887095680 is about 1572.3229140650.

The spelling of 3887095680 in words is "three billion, eight hundred eighty-seven million, ninety-five thousand, six hundred eighty".