3862188144 has 120 divisors (see below), whose sum is σ = 11026080000. Its totient is φ = 1261653120.

The previous prime is 3862188139. The next prime is 3862188167. The reversal of 3862188144 is 4418812683.

3862188144 is a `hidden beast` number, since 3 + 8 + 621 + 8 + 8 + 14 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3862188144.

It is a congruent number.

It is an unprimeable number.

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, 4239049 + ... + 4239959.

It is an arithmetic number, because the mean of its divisors is an integer number (91884000).

Almost surely, 2^3862188144 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 3862188144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513040000).

3862188144 is an abundant number, since it is smaller than the sum of its proper divisors (7163891856).

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

3862188144 is a wasteful number, since it uses less digits than its factorization.

3862188144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1474 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 3862188144 is about 62146.5054850230. The cubic root of 3862188144 is about 1568.9573647271.

The spelling of 3862188144 in words is "three billion, eight hundred sixty-two million, one hundred eighty-eight thousand, one hundred forty-four".