3603066304320 has 448 divisors, whose sum is σ = 14533502860800. Its totient is φ = 823169433600.

The previous prime is 3603066304309. The next prime is 3603066304337. The reversal of 3603066304320 is 234036603063.

3603066304320 is a `hidden beast` number, since 3 + 603 + 0 + 6 + 6 + 3 + 0 + 43 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139635420 + ... + 139661220.

It is an arithmetic number, because the mean of its divisors is an integer number (32440854600).

Almost surely, 2^{3603066304320} is an apocalyptic number.

3603066304320 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 3603066304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7266751430400).

3603066304320 is an abundant number, since it is smaller than the sum of its proper divisors (10930436556480).

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

3603066304320 is a wasteful number, since it uses less digits than its factorization.

3603066304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28143 (or 28127 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

The spelling of 3603066304320 in words is "three trillion, six hundred three billion, sixty-six million, three hundred four thousand, three hundred twenty".