3585072960 has 280 divisors, whose sum is σ = 14575292160. Its totient is φ = 819403776.

The previous prime is 3585072949. The next prime is 3585072989. The reversal of 3585072960 is 692705853.

It is a happy number.

3585072960 is a `hidden beast` number, since 3 + 58 + 507 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171561 + ... + 191319.

Almost surely, 2^3585072960 is an apocalyptic number.

3585072960 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 3585072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7287646080).

3585072960 is an abundant number, since it is smaller than the sum of its proper divisors (10990219200).

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

3585072960 is a wasteful number, since it uses less digits than its factorization.

3585072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19795 (or 19776 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 3585072960 is about 59875.4787872298. The cubic root of 3585072960 is about 1530.4976466535.

The spelling of 3585072960 in words is "three billion, five hundred eighty-five million, seventy-two thousand, nine hundred sixty".