3832000 has 56 divisors (see below), whose sum is σ = 9509760. Its totient is φ = 1529600.

The previous prime is 3831937. The next prime is 3832001. The reversal of 3832000 is 2383.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3832001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7761 + ... + 8239.

Almost surely, 2^3832000 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 3832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754880).

3832000 is an abundant number, since it is smaller than the sum of its proper divisors (5677760).

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

3832000 is an equidigital number, since it uses as much as digits as its factorization.

3832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3832000 is about 1957.5494885187. The cubic root of 3832000 is about 156.4858837176.

Adding to 3832000 its reverse (2383), we get a palindrome (3834383).

The spelling of 3832000 in words is "three million, eight hundred thirty-two thousand".