3668603904 has 528 divisors, whose sum is σ = 13233118080. Its totient is φ = 955514880.

The previous prime is 3668603903. The next prime is 3668603921. The reversal of 3668603904 is 4093068663.

3668603904 is a `hidden beast` number, since 36 + 6 + 8 + 603 + 9 + 0 + 4 = 666.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3668603904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3668603903) 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, 50254812 + ... + 50254884.

Almost surely, 2^3668603904 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 3668603904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616559040).

3668603904 is an abundant number, since it is smaller than the sum of its proper divisors (9564514176).

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

3668603904 is a wasteful number, since it uses less digits than its factorization.

3668603904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3668603904 is about 60569.0011804718. The cubic root of 3668603904 is about 1542.2931911828.

The spelling of 3668603904 in words is "three billion, six hundred sixty-eight million, six hundred three thousand, nine hundred four".