3608004814848 has 288 divisors, whose sum is σ = 12609785522880. Its totient is φ = 970219192320.

The previous prime is 3608004814819. The next prime is 3608004814861. The reversal of 3608004814848 is 8484184008063.

3608004814848 is a `hidden beast` number, since 3 + 6 + 0 + 80 + 0 + 4 + 81 + 484 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3608004814848² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3608004814794 and 3608004814803.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1370943 + ... + 3015873.

It is an arithmetic number, because the mean of its divisors is an integer number (43783977510).

Almost surely, 2^{3608004814848} 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 3608004814848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6304892761440).

3608004814848 is an abundant number, since it is smaller than the sum of its proper divisors (9001780708032).

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

3608004814848 is a wasteful number, since it uses less digits than its factorization.

3608004814848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644983 (or 1644960 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 3608004814848 in words is "three trillion, six hundred eight billion, four million, eight hundred fourteen thousand, eight hundred forty-eight".