3509928 has 72 divisors (see below), whose sum is σ = 10079550. Its totient is φ = 1102080.

The previous prime is 3509917. The next prime is 3509941. The reversal of 3509928 is 8299053.

3509928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1205604 + 2304324 = 1098^2 + 1518^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 3509892 and 3509901.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 85588 + ... + 85628.

Almost surely, 2^3509928 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 3509928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039775).

3509928 is an abundant number, since it is smaller than the sum of its proper divisors (6569622).

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

3509928 is a wasteful number, since it uses less digits than its factorization.

3509928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 3509928 is about 1873.4801840425. The cubic root of 3509928 is about 151.9728714281.

The spelling of 3509928 in words is "three million, five hundred nine thousand, nine hundred twenty-eight".