3585968250 has 64 divisors (see below), whose sum is σ = 8990092800. Its totient is φ = 952036800.

The previous prime is 3585968231. The next prime is 3585968251. The reversal of 3585968250 is 528695853.

It is a junction number, because it is equal to n+sod(n) for n = 3585968193 and 3585968202.

It is not an unprimeable number, because it can be changed into a prime (3585968251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161311 + ... + 182189.

It is an arithmetic number, because the mean of its divisors is an integer number (140470200).

Almost surely, 2^3585968250 is an apocalyptic number.

3585968250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3585968250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4495046400).

3585968250 is an abundant number, since it is smaller than the sum of its proper divisors (5404124550).

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

3585968250 is a wasteful number, since it uses less digits than its factorization.

3585968250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21128 (or 21118 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

The square root of 3585968250 is about 59882.9545864263. The cubic root of 3585968250 is about 1530.6250383139.

The spelling of 3585968250 in words is "three billion, five hundred eighty-five million, nine hundred sixty-eight thousand, two hundred fifty".