3503305728 has 462 divisors, whose sum is σ = 11934136914. Its totient is φ = 1021206528.

The previous prime is 3503305711. The next prime is 3503305733. The reversal of 3503305728 is 8275033053.

3503305728 is a `hidden beast` number, since 3 + 50 + 3 + 30 + 572 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2425365504 + 1077940224 = 49248^2 + 32832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3503305692 and 3503305701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 184384503 + ... + 184384521.

Almost surely, 2^3503305728 is an apocalyptic number.

3503305728 is a gapful number since it is divisible by the number (38) 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 3503305728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5967068457).

3503305728 is an abundant number, since it is smaller than the sum of its proper divisors (8430831186).

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

3503305728 is an equidigital number, since it uses as much as digits as its factorization.

3503305728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3503305728 is about 59188.7297380168. The cubic root of 3503305728 is about 1518.7723420582.

The spelling of 3503305728 in words is "three billion, five hundred three million, three hundred five thousand, seven hundred twenty-eight".