3665859120 has 960 divisors, whose sum is σ = 16638935040. Its totient is φ = 727833600.

The previous prime is 3665859061. The next prime is 3665859121. The reversal of 3665859120 is 219585663.

3665859120 is a `hidden beast` number, since 3 + 6 + 6 + 58 + 591 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3665859121) 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 191 ways as a sum of consecutive naturals, for example, 46403241 + ... + 46403319.

It is an arithmetic number, because the mean of its divisors is an integer number (17332224).

Almost surely, 2^3665859120 is an apocalyptic number.

3665859120 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 3665859120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8319467520).

3665859120 is an abundant number, since it is smaller than the sum of its proper divisors (12973075920).

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

3665859120 is a wasteful number, since it uses less digits than its factorization.

3665859120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 3665859120 is about 60546.3386176241. The cubic root of 3665859120 is about 1541.9084564650.

The spelling of 3665859120 in words is "three billion, six hundred sixty-five million, eight hundred fifty-nine thousand, one hundred twenty".