3331332 has 72 divisors (see below), whose sum is σ = 9004632. Its totient is φ = 1036800.

The previous prime is 3331331. The next prime is 3331333. The reversal of 3331332 is 2331333.

3331332 is a `hidden beast` number, since 3 + 331 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (3331331) and next prime (3331333).

It can be written as a sum of positive squares in 4 ways, for example, as 4356 + 3326976 = 66^2 + 1824^2 .

It is a super-2 number, since 2×3331332² = 22195545788448, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331331) 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, 54582 + ... + 54642.

Almost surely, 2^3331332 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 3331332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4502316).

3331332 is an abundant number, since it is smaller than the sum of its proper divisors (5673300).

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

3331332 is a wasteful number, since it uses less digits than its factorization.

3331332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 144 counting only the distinct ones).

The product of its digits is 486, while the sum is 18.

The square root of 3331332 is about 1825.1936883520. The cubic root of 3331332 is about 149.3502562844.

Adding to 3331332 its reverse (2331333), we get a palindrome (5662665).

Subtracting from 3331332 its reverse (2331333), we obtain a palindrome (999999).

It can be divided in two parts, 3331 and 332, that added together give a palindrome (3663).

The spelling of 3331332 in words is "three million, three hundred thirty-one thousand, three hundred thirty-two".