3665887680 has 448 divisors, whose sum is σ = 14829373440. Its totient is φ = 746274816.

The previous prime is 3665887627. The next prime is 3665887723. The reversal of 3665887680 is 867885663.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 3665887680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2532717 + ... + 2534163.

It is an arithmetic number, because the mean of its divisors is an integer number (33101280).

Almost surely, 2^3665887680 is an apocalyptic number.

3665887680 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 3665887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7414686720).

3665887680 is an abundant number, since it is smaller than the sum of its proper divisors (11163485760).

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

3665887680 is a wasteful number, since it uses less digits than its factorization.

3665887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The square root of 3665887680 is about 60546.5744695767. The cubic root of 3665887680 is about 1541.9124606915.

The spelling of 3665887680 in words is "three billion, six hundred sixty-five million, eight hundred eighty-seven thousand, six hundred eighty".