3665616800 has 144 divisors (see below), whose sum is σ = 9460332000. Its totient is φ = 1383091200.

The previous prime is 3665616797. The next prime is 3665616811. The reversal of 3665616800 is 86165663.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5304455 + ... + 5305145.

It is an arithmetic number, because the mean of its divisors is an integer number (65696750).

Almost surely, 2^3665616800 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 3665616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730166000).

3665616800 is an abundant number, since it is smaller than the sum of its proper divisors (5794715200).

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

3665616800 is a wasteful number, since it uses less digits than its factorization.

3665616800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 3665616800 is about 60544.3374726324. The cubic root of 3665616800 is about 1541.8744813923.

The spelling of 3665616800 in words is "three billion, six hundred sixty-five million, six hundred sixteen thousand, eight hundred".