3684813888 has 112 divisors (see below), whose sum is σ = 11244844160. Its totient is φ = 1043103744.

The previous prime is 3684813851. The next prime is 3684813889. The reversal of 3684813888 is 8883184863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (3684813889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133920 + ... + 159072.

Almost surely, 2^3684813888 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 3684813888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5622422080).

3684813888 is an abundant number, since it is smaller than the sum of its proper divisors (7560030272).

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

3684813888 is a wasteful number, since it uses less digits than its factorization.

3684813888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25284 (or 25274 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 57.

The square root of 3684813888 is about 60702.6678820626. The cubic root of 3684813888 is about 1544.5614305916.

The spelling of 3684813888 in words is "three billion, six hundred eighty-four million, eight hundred thirteen thousand, eight hundred eighty-eight".