3585576960 has 468 divisors, whose sum is σ = 14494040028. Its totient is φ = 817496064.

The previous prime is 3585576959. The next prime is 3585576971. The reversal of 3585576960 is 696755853.

3585576960 is a `hidden beast` number, since 3 + 5 + 8 + 5 + 576 + 9 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1849688064 + 1735888896 = 43008^2 + 41664^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3585576897 and 3585576906.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 9031482 + ... + 9031878.

It is an arithmetic number, because the mean of its divisors is an integer number (30970171).

Almost surely, 2^3585576960 is an apocalyptic number.

3585576960 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 3585576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7247020014).

3585576960 is an abundant number, since it is smaller than the sum of its proper divisors (10908463068).

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

3585576960 is a wasteful number, since it uses less digits than its factorization.

3585576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The square root of 3585576960 is about 59879.6873739334. The cubic root of 3585576960 is about 1530.5693638986.

The spelling of 3585576960 in words is "three billion, five hundred eighty-five million, five hundred seventy-six thousand, nine hundred sixty".