3601664000 has 192 divisors, whose sum is σ = 9812275200. Its totient is φ = 1308672000.

The previous prime is 3601663987. The next prime is 3601664021. The reversal of 3601664000 is 4661063.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2815361 + ... + 2816639.

It is an arithmetic number, because the mean of its divisors is an integer number (51105600).

Almost surely, 2^3601664000 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 3601664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906137600).

3601664000 is an abundant number, since it is smaller than the sum of its proper divisors (6210611200).

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

3601664000 is a wasteful number, since it uses less digits than its factorization.

3601664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 3601664000 is about 60013.8650646665. The cubic root of 3601664000 is about 1532.8549652464.

The spelling of 3601664000 in words is "three billion, six hundred one million, six hundred sixty-four thousand".