3932832 has 48 divisors (see below), whose sum is σ = 10487232. Its totient is φ = 1290240.

The previous prime is 3932827. The next prime is 3932861. The reversal of 3932832 is 2382393.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 3932832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6528 + ... + 7104.

It is an arithmetic number, because the mean of its divisors is an integer number (218484).

Almost surely, 2^3932832 is an apocalyptic number.

3932832 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 3932832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243616).

3932832 is an abundant number, since it is smaller than the sum of its proper divisors (6554400).

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

3932832 is a wasteful number, since it uses less digits than its factorization.

3932832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 653 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 3932832 is about 1983.1369090408. The cubic root of 3932832 is about 157.8465636432.

The spelling of 3932832 in words is "three million, nine hundred thirty-two thousand, eight hundred thirty-two".