3532032 has 144 divisors (see below), whose sum is σ = 12100480. Its totient is φ = 995328.

The previous prime is 3532021. The next prime is 3532033. The reversal of 3532032 is 2302353.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 3⁴ + 5⁶ + 3¹³ + 2¹⁶ + 0 + 3¹³ + 2¹⁸ .

It is a junction number, because it is equal to n+sod(n) for n = 3531996 and 3532014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3532033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48348 + ... + 48420.

Almost surely, 2^3532032 is an apocalyptic number.

3532032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3532032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6050240).

3532032 is an abundant number, since it is smaller than the sum of its proper divisors (8568448).

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

3532032 is an equidigital number, since it uses as much as digits as its factorization.

3532032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 3532032 is about 1879.3701072434. The cubic root of 3532032 is about 152.2912237615.

Adding to 3532032 its reverse (2302353), we get a palindrome (5834385).

The spelling of 3532032 in words is "three million, five hundred thirty-two thousand, thirty-two".