3585450000 has 480 divisors, whose sum is σ = 13181906304. Its totient is φ = 832000000.

The previous prime is 3585449999. The next prime is 3585450017. The reversal of 3585450000 is 545853.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3585450000.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 67649974 + ... + 67650026.

Almost surely, 2^3585450000 is an apocalyptic number.

3585450000 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 3585450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590953152).

3585450000 is an abundant number, since it is smaller than the sum of its proper divisors (9596456304).

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

3585450000 is a wasteful number, since it uses less digits than its factorization.

3585450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 3585450000 is about 59878.6272387736. The cubic root of 3585450000 is about 1530.5512986163.

Adding to 3585450000 its reverse (545853), we get a palindrome (3585995853).

The spelling of 3585450000 in words is "three billion, five hundred eighty-five million, four hundred fifty thousand".