3881987760 has 240 divisors, whose sum is σ = 14160031200. Its totient is φ = 877105152.

The previous prime is 3881987737. The next prime is 3881987761. The reversal of 3881987760 is 677891883.

It is a tau number, because it is divible by the number of its divisors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 3881987760.

It is not an unprimeable number, because it can be changed into a prime (3881987761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1044786 + ... + 1048494.

It is an arithmetic number, because the mean of its divisors is an integer number (59000130).

Almost surely, 2^3881987760 is an apocalyptic number.

3881987760 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 3881987760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7080015600).

3881987760 is an abundant number, since it is smaller than the sum of its proper divisors (10278043440).

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

3881987760 is a wasteful number, since it uses less digits than its factorization.

3881987760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The square root of 3881987760 is about 62305.5997483372. The cubic root of 3881987760 is about 1571.6338974838.

The spelling of 3881987760 in words is "three billion, eight hundred eighty-one million, nine hundred eighty-seven thousand, seven hundred sixty".