3585042720 has 384 divisors, whose sum is σ = 14491975680. Its totient is φ = 810777600.

The previous prime is 3585042677. The next prime is 3585042737. The reversal of 3585042720 is 272405853.

3585042720 is a `hidden beast` number, since 3 + 585 + 0 + 4 + 2 + 72 + 0 = 666.

3585042720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3114145 + ... + 3115295.

It is an arithmetic number, because the mean of its divisors is an integer number (37739520).

Almost surely, 2^3585042720 is an apocalyptic number.

3585042720 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 3585042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7245987840).

3585042720 is an abundant number, since it is smaller than the sum of its proper divisors (10906932960).

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

3585042720 is a wasteful number, since it uses less digits than its factorization.

3585042720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 3585042720 is about 59875.2262626205. The cubic root of 3585042720 is about 1530.4933434050.

The spelling of 3585042720 in words is "three billion, five hundred eighty-five million, forty-two thousand, seven hundred twenty".