3585624960 has 256 divisors, whose sum is σ = 12003033600. Its totient is φ = 909189120.

The previous prime is 3585624929. The next prime is 3585625003. The reversal of 3585624960 is 694265853.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3952827 + ... + 3953733.

It is an arithmetic number, because the mean of its divisors is an integer number (46886850).

Almost surely, 2^3585624960 is an apocalyptic number.

3585624960 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 3585624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6001516800).

3585624960 is an abundant number, since it is smaller than the sum of its proper divisors (8417408640).

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

3585624960 is a wasteful number, since it uses less digits than its factorization.

3585624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The square root of 3585624960 is about 59880.0881762878. The cubic root of 3585624960 is about 1530.5761937620.

The spelling of 3585624960 in words is "three billion, five hundred eighty-five million, six hundred twenty-four thousand, nine hundred sixty".