3820032 has 60 divisors (see below), whose sum is σ = 11038170. Its totient is φ = 1271808.

The previous prime is 3820031. The next prime is 3820043. The reversal of 3820032 is 2300283.

It can be written as a sum of positive squares in only one way, i.e., 3154176 + 665856 = 1776^2 + 816^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3819987 and 3820014.

It is not an unprimeable number, because it can be changed into a prime (3820031) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 4194 + ... + 5022.

Almost surely, 2^3820032 is an apocalyptic number.

3820032 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 3820032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519085).

3820032 is an abundant number, since it is smaller than the sum of its proper divisors (7218138).

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

3820032 is an equidigital number, since it uses as much as digits as its factorization.

3820032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3820032 is about 1954.4902148642. The cubic root of 3820032 is about 156.3228029796.

The spelling of 3820032 in words is "three million, eight hundred twenty thousand, thirty-two".