3660005760 has 128 divisors (see below), whose sum is σ = 11687535360. Its totient is φ = 974223360.

The previous prime is 3660005747. The next prime is 3660005779. The reversal of 3660005760 is 675000663.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1309965 + ... + 1312755.

It is an arithmetic number, because the mean of its divisors is an integer number (91308870).

Almost surely, 2^3660005760 is an apocalyptic number.

3660005760 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 3660005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5843767680).

3660005760 is an abundant number, since it is smaller than the sum of its proper divisors (8027529600).

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

3660005760 is a wasteful number, since it uses less digits than its factorization.

3660005760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3496 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 3660005760 is about 60497.9814539295. The cubic root of 3660005760 is about 1541.0873526063.

The spelling of 3660005760 in words is "three billion, six hundred sixty million, five thousand, seven hundred sixty".