3686388480 has 216 divisors, whose sum is σ = 13310021088. Its totient is φ = 940228608.

The previous prime is 3686388479. The next prime is 3686388521. The reversal of 3686388480 is 848836863.

It is a happy number.

3686388480 is a `hidden beast` number, since 3 + 6 + 86 + 3 + 88 + 480 = 666.

3686388480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258004 + ... + 271916.

It is an arithmetic number, because the mean of its divisors is an integer number (61620468).

Almost surely, 2^3686388480 is an apocalyptic number.

3686388480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3686388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6655010544).

3686388480 is an abundant number, since it is smaller than the sum of its proper divisors (9623632608).

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

3686388480 is a wasteful number, since it uses less digits than its factorization.

3686388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13963 (or 13946 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 3686388480 is about 60715.6362068290. The cubic root of 3686388480 is about 1544.7814062184.

The spelling of 3686388480 in words is "three billion, six hundred eighty-six million, three hundred eighty-eight thousand, four hundred eighty".