3660765696 has 360 divisors, whose sum is σ = 12710865024. Its totient is φ = 1010257920.

The previous prime is 3660765677. The next prime is 3660765707. The reversal of 3660765696 is 6965670663.

3660765696 is a `hidden beast` number, since 3 + 6 + 6 + 0 + 76 + 569 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6999291 + ... + 6999813.

Almost surely, 2^3660765696 is an apocalyptic number.

3660765696 is a gapful number since it is divisible by the number (36) 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 3660765696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6355432512).

3660765696 is an abundant number, since it is smaller than the sum of its proper divisors (9050099328).

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

3660765696 is a wasteful number, since it uses less digits than its factorization.

3660765696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The square root of 3660765696 is about 60504.2618003063. The cubic root of 3660765696 is about 1541.1940051446.

The spelling of 3660765696 in words is "three billion, six hundred sixty million, seven hundred sixty-five thousand, six hundred ninety-six".