3529120 has 96 divisors (see below), whose sum is σ = 10015488. Its totient is φ = 1148928.

The previous prime is 3529109. The next prime is 3529129. The reversal of 3529120 is 219253.

3529120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3529091 and 3529100.

It is not an unprimeable number, because it can be changed into a prime (3529129) 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 15 ways as a sum of consecutive naturals, for example, 25692 + ... + 25828.

It is an arithmetic number, because the mean of its divisors is an integer number (104328).

Almost surely, 2^3529120 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 3529120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007744).

3529120 is an abundant number, since it is smaller than the sum of its proper divisors (6486368).

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

3529120 is a wasteful number, since it uses less digits than its factorization.

3529120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 3529120 is about 1878.5952198385. The cubic root of 3529120 is about 152.2493598549.

The spelling of 3529120 in words is "three million, five hundred twenty-nine thousand, one hundred twenty".