3665916576 has 288 divisors, whose sum is σ = 12551837760. Its totient is φ = 1037836800.

The previous prime is 3665916493. The next prime is 3665916577. The reversal of 3665916576 is 6756195663.

3665916576 is a `hidden beast` number, since 3 + 6 + 6 + 59 + 16 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (3665916577) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5545686 + ... + 5546346.

It is an arithmetic number, because the mean of its divisors is an integer number (43582770).

Almost surely, 2^3665916576 is an apocalyptic number.

3665916576 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 3665916576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6275918880).

3665916576 is an abundant number, since it is smaller than the sum of its proper divisors (8885921184).

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

3665916576 is a wasteful number, since it uses less digits than its factorization.

3665916576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 804 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 54.

The square root of 3665916576 is about 60546.8130953232. The cubic root of 3665916576 is about 1541.9165120054.

It can be divided in two parts, 36659 and 16576, that added together give a palindrome (53235).

The spelling of 3665916576 in words is "three billion, six hundred sixty-five million, nine hundred sixteen thousand, five hundred seventy-six".