3530688 has 112 divisors (see below), whose sum is σ = 11119104. Its totient is φ = 967680.

The previous prime is 3530677. The next prime is 3530689. The reversal of 3530688 is 8860353.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3530689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49693 + ... + 49763.

Almost surely, 2^3530688 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 3530688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559552).

3530688 is an abundant number, since it is smaller than the sum of its proper divisors (7588416).

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

3530688 is a wasteful number, since it uses less digits than its factorization.

3530688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3530688 is about 1879.0125066109. The cubic root of 3530688 is about 152.2719048188.

The spelling of 3530688 in words is "three million, five hundred thirty thousand, six hundred eighty-eight".