3686335488 has 704 divisors, whose sum is σ = 13582909440. Its totient is φ = 973209600.

The previous prime is 3686335481. The next prime is 3686335507. The reversal of 3686335488 is 8845336863.

3686335488 is a `hidden beast` number, since 3 + 68 + 6 + 33 + 548 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is not an unprimeable number, because it can be changed into a prime (3686335481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118914033 + ... + 118914063.

Almost surely, 2^3686335488 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 3686335488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6791454720).

3686335488 is an abundant number, since it is smaller than the sum of its proper divisors (9896573952).

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

3686335488 is a wasteful number, since it uses less digits than its factorization.

3686335488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 87 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The square root of 3686335488 is about 60715.1998102617. The cubic root of 3686335488 is about 1544.7740040822.

The spelling of 3686335488 in words is "three billion, six hundred eighty-six million, three hundred thirty-five thousand, four hundred eighty-eight".