3665328576 has 336 divisors, whose sum is σ = 12686897664. Its totient is φ = 923940864.

The previous prime is 3665328539. The next prime is 3665328577. The reversal of 3665328576 is 6758235663.

It is a happy number.

3665328576 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3665328577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2812341 + ... + 2813643.

It is an arithmetic number, because the mean of its divisors is an integer number (37758624).

Almost surely, 2^3665328576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3665328576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343448832).

3665328576 is an abundant number, since it is smaller than the sum of its proper divisors (9021569088).

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

3665328576 is a wasteful number, since it uses less digits than its factorization.

3665328576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1351 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 51.

The square root of 3665328576 is about 60541.9571536963. The cubic root of 3665328576 is about 1541.8340682865.

The spelling of 3665328576 in words is "three billion, six hundred sixty-five million, three hundred twenty-eight thousand, five hundred seventy-six".