3573808704000 has 480 divisors, whose sum is σ = 12930376402944. Its totient is φ = 948707942400.

The previous prime is 3573808703929. The next prime is 3573808704029. The reversal of 3573808704000 is 4078083753.

3573808704000 is a `hidden beast` number, since 3 + 573 + 8 + 0 + 8 + 70 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128434089 + ... + 128461911.

Almost surely, 2^{3573808704000} is an apocalyptic number.

3573808704000 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 3573808704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6465188201472).

3573808704000 is an abundant number, since it is smaller than the sum of its proper divisors (9356567698944).

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

3573808704000 is a wasteful number, since it uses less digits than its factorization.

3573808704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28085 (or 28056 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 3573808704000 in words is "three trillion, five hundred seventy-three billion, eight hundred eight million, seven hundred four thousand".