3665110680 has 768 divisors, whose sum is σ = 15850598400. Its totient is φ = 739653120.

The previous prime is 3665110661. The next prime is 3665110693. The reversal of 3665110680 is 860115663.

It is a happy number.

3665110680 is a `hidden beast` number, since 3 + 66 + 511 + 0 + 6 + 80 = 666.

3665110680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44157919 + ... + 44158001.

It is an arithmetic number, because the mean of its divisors is an integer number (20638800).

Almost surely, 2^3665110680 is an apocalyptic number.

3665110680 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 3665110680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7925299200).

3665110680 is an abundant number, since it is smaller than the sum of its proper divisors (12185487720).

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

3665110680 is a wasteful number, since it uses less digits than its factorization.

3665110680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3665110680 is about 60540.1575815590. The cubic root of 3665110680 is about 1541.8035147607.

The spelling of 3665110680 in words is "three billion, six hundred sixty-five million, one hundred ten thousand, six hundred eighty".