3503585250 has 288 divisors, whose sum is σ = 11040342768. Its totient is φ = 798336000.

The previous prime is 3503585231. The next prime is 3503585317. The reversal of 3503585250 is 525853053.

3503585250 is a `hidden beast` number, since 3 + 50 + 3 + 585 + 25 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 499120281 + 3004464969 = 22341^2 + 54813^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4627872 + ... + 4628628.

Almost surely, 2^3503585250 is an apocalyptic number.

3503585250 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 3503585250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520171384).

3503585250 is an abundant number, since it is smaller than the sum of its proper divisors (7536757518).

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

3503585250 is a wasteful number, since it uses less digits than its factorization.

3503585250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 3503585250 is about 59191.0909681516. The cubic root of 3503585250 is about 1518.8127342882.

The spelling of 3503585250 in words is "three billion, five hundred three million, five hundred eighty-five thousand, two hundred fifty".