3867882144 has 192 divisors, whose sum is σ = 11888739072. Its totient is φ = 1078272000.

The previous prime is 3867882131. The next prime is 3867882167. The reversal of 3867882144 is 4412887683.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6435444 + ... + 6436044.

It is an arithmetic number, because the mean of its divisors is an integer number (61920516).

Almost surely, 2^3867882144 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 3867882144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5944369536).

3867882144 is an abundant number, since it is smaller than the sum of its proper divisors (8020856928).

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

3867882144 is a wasteful number, since it uses less digits than its factorization.

3867882144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 831 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The square root of 3867882144 is about 62192.2997162832. The cubic root of 3867882144 is about 1569.7280208269.

The spelling of 3867882144 in words is "three billion, eight hundred sixty-seven million, eight hundred eighty-two thousand, one hundred forty-four".