3509024 has 24 divisors (see below), whose sum is σ = 7042140. Its totient is φ = 1720576.

The previous prime is 3509017. The next prime is 3509027. The reversal of 3509024 is 4209053.

It can be written as a sum of positive squares in 2 ways, for example, as 3489424 + 19600 = 1868^2 + 140^2 .

It is a super-3 number, since 3×3509024³ (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3509027) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 662 + ... + 2730.

Almost surely, 2^3509024 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 3509024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521070).

3509024 is an abundant number, since it is smaller than the sum of its proper divisors (3533116).

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

3509024 is a wasteful number, since it uses less digits than its factorization.

3509024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 3509024 is about 1873.2389062797. The cubic root of 3509024 is about 151.9598231764.

The spelling of 3509024 in words is "three million, five hundred nine thousand, twenty-four".