3867844864 has 135 divisors (see below), whose sum is σ = 8743400603. Its totient is φ = 1707543552.

The previous prime is 3867844861. The next prime is 3867844867. The reversal of 3867844864 is 4684487683.

The square root of 3867844864 is 62192.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (3867844861) and next prime (3867844867).

It can be written as a sum of positive squares in 2 ways, for example, as 1917739264 + 1950105600 = 43792^2 + 44160^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3867844799 and 3867844808.

It is not an unprimeable number, because it can be changed into a prime (3867844861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 168167157 + ... + 168167179.

Almost surely, 2^3867844864 is an apocalyptic number.

3867844864 is the 62192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3867844864

3867844864 is an abundant number, since it is smaller than the sum of its proper divisors (4875555739).

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

3867844864 is an frugal number, since it uses more digits than its factorization.

3867844864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 38 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 58.

The cubic root of 3867844864 is about 1569.7229776149.

The spelling of 3867844864 in words is "three billion, eight hundred sixty-seven million, eight hundred forty-four thousand, eight hundred sixty-four".