3580536960 has 1536 divisors, whose sum is σ = 17964011520. Its totient is φ = 656916480.

The previous prime is 3580536959. The next prime is 3580536977. The reversal of 3580536960 is 696350853.

3580536960 is a `hidden beast` number, since 3 + 58 + 0 + 536 + 9 + 60 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 155675509 + ... + 155675531.

It is an arithmetic number, because the mean of its divisors is an integer number (11695320).

Almost surely, 2^3580536960 is an apocalyptic number.

3580536960 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 3580536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8982005760).

3580536960 is an abundant number, since it is smaller than the sum of its proper divisors (14383474560).

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

3580536960 is a wasteful number, since it uses less digits than its factorization.

3580536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 3580536960 is about 59837.5881866908. The cubic root of 3580536960 is about 1529.8518887768.

The spelling of 3580536960 in words is "three billion, five hundred eighty million, five hundred thirty-six thousand, nine hundred sixty".