3871288944 has 160 divisors (see below), whose sum is σ = 11375105280. Its totient is φ = 1260230400.

The previous prime is 3871288913. The next prime is 3871288963. The reversal of 3871288944 is 4498821783.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3791154 + ... + 3792174.

It is an arithmetic number, because the mean of its divisors is an integer number (71094408).

Almost surely, 2^3871288944 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 3871288944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687552640).

3871288944 is an abundant number, since it is smaller than the sum of its proper divisors (7503816336).

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

3871288944 is a wasteful number, since it uses less digits than its factorization.

3871288944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1224 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 3871288944 is about 62219.6829307254. The cubic root of 3871288944 is about 1570.1887535919.

The spelling of 3871288944 in words is "three billion, eight hundred seventy-one million, two hundred eighty-eight thousand, nine hundred forty-four".