3965832 has 96 divisors (see below), whose sum is σ = 12230400. Its totient is φ = 1150848.

The previous prime is 3965827. The next prime is 3965833. The reversal of 3965832 is 2385693.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3965833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17673 + ... + 17895.

It is an arithmetic number, because the mean of its divisors is an integer number (127400).

Almost surely, 2^3965832 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 3965832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115200).

3965832 is an abundant number, since it is smaller than the sum of its proper divisors (8264568).

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

3965832 is a wasteful number, since it uses less digits than its factorization.

3965832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 260 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3965832 is about 1991.4396802314. The cubic root of 3965832 is about 158.2868261069.

The spelling of 3965832 in words is "three million, nine hundred sixty-five thousand, eight hundred thirty-two".