3887129088 has 240 divisors, whose sum is σ = 11766955200. Its totient is φ = 1280987136.

The previous prime is 3887129083. The next prime is 3887129111. The reversal of 3887129088 is 8809217883.

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

It is not an unprimeable number, because it can be changed into a prime (3887129083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19533213 + ... + 19533411.

It is an arithmetic number, because the mean of its divisors is an integer number (49028980).

Almost surely, 2^3887129088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3887129088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5883477600).

3887129088 is an abundant number, since it is smaller than the sum of its proper divisors (7879826112).

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

3887129088 is an equidigital number, since it uses as much as digits as its factorization.

3887129088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 3887129088 is about 62346.8450524964. The cubic root of 3887129088 is about 1572.3274185432.

The spelling of 3887129088 in words is "three billion, eight hundred eighty-seven million, one hundred twenty-nine thousand, eighty-eight".