3585999648 has 192 divisors, whose sum is σ = 12115353600. Its totient is φ = 901324800.

The previous prime is 3585999631. The next prime is 3585999653. The reversal of 3585999648 is 8469995853.

It is a super-2 number, since 2×3585999648² = 25718786950912247808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 221328 + ... + 236976.

It is an arithmetic number, because the mean of its divisors is an integer number (63100800).

Almost surely, 2^3585999648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3585999648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6057676800).

3585999648 is an abundant number, since it is smaller than the sum of its proper divisors (8529353952).

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

3585999648 is a wasteful number, since it uses less digits than its factorization.

3585999648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15711 (or 15703 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 66.

The square root of 3585999648 is about 59883.2167472657. The cubic root of 3585999648 is about 1530.6295055802.

It can be divided in two parts, 358 and 5999648, that added together give a palindrome (6000006).

The spelling of 3585999648 in words is "three billion, five hundred eighty-five million, nine hundred ninety-nine thousand, six hundred forty-eight".