3681876384 has 120 divisors (see below), whose sum is σ = 10864878948. Its totient is φ = 1223147520.

The previous prime is 3681876379. The next prime is 3681876389. The reversal of 3681876384 is 4836781863.

It is an interprime number because it is at equal distance from previous prime (3681876379) and next prime (3681876389).

It can be written as a sum of positive squares in 2 ways, for example, as 3627411984 + 54464400 = 60228^2 + 7380^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 3681876384.

It is not an unprimeable number, because it can be changed into a prime (3681876389) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 819424 + ... + 823904.

Almost surely, 2^3681876384 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 3681876384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5432439474).

3681876384 is an abundant number, since it is smaller than the sum of its proper divisors (7183002564).

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

3681876384 is a wasteful number, since it uses less digits than its factorization.

3681876384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820 (or 4803 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 3681876384 is about 60678.4672186106. The cubic root of 3681876384 is about 1544.1508841602.

The spelling of 3681876384 in words is "three billion, six hundred eighty-one million, eight hundred seventy-six thousand, three hundred eighty-four".