3505481728 has 96 divisors (see below), whose sum is σ = 8043235200. Its totient is φ = 1496236032.

The previous prime is 3505481717. The next prime is 3505481729. The reversal of 3505481728 is 8271845053.

It is not an unprimeable number, because it can be changed into a prime (3505481729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6293226 + ... + 6293782.

It is an arithmetic number, because the mean of its divisors is an integer number (83783700).

Almost surely, 2^3505481728 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 3505481728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021617600).

3505481728 is an abundant number, since it is smaller than the sum of its proper divisors (4537753472).

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

3505481728 is an equidigital number, since it uses as much as digits as its factorization.

3505481728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The square root of 3505481728 is about 59207.1087623775. The cubic root of 3505481728 is about 1519.0867274667.

The spelling of 3505481728 in words is "three billion, five hundred five million, four hundred eighty-one thousand, seven hundred twenty-eight".