3659765760 has 768 divisors, whose sum is σ = 15599001600. Its totient is φ = 796262400.

The previous prime is 3659765737. The next prime is 3659765761. The reversal of 3659765760 is 675679563.

3659765760 is a `hidden beast` number, since 3 + 65 + 9 + 7 + 6 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3659765697 and 3659765706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3659765761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59996130 + ... + 59996190.

It is an arithmetic number, because the mean of its divisors is an integer number (20311200).

Almost surely, 2^3659765760 is an apocalyptic number.

3659765760 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 3659765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7799500800).

3659765760 is an abundant number, since it is smaller than the sum of its proper divisors (11939235840).

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

3659765760 is a wasteful number, since it uses less digits than its factorization.

3659765760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The square root of 3659765760 is about 60495.9978841576. The cubic root of 3659765760 is about 1541.0536669536.

The spelling of 3659765760 in words is "three billion, six hundred fifty-nine million, seven hundred sixty-five thousand, seven hundred sixty".