3332004440 has 64 divisors (see below), whose sum is σ = 7618224960. Its totient is φ = 1311331840.

The previous prime is 3332004421. The next prime is 3332004449. The reversal of 3332004440 is 444002333.

It is a happy number.

It is a super-2 number, since 2×3332004440² = 22204507176359427200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332004449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1921814 + ... + 1923546.

It is an arithmetic number, because the mean of its divisors is an integer number (119034765).

Almost surely, 2^3332004440 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 3332004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809112480).

3332004440 is an abundant number, since it is smaller than the sum of its proper divisors (4286220520).

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

3332004440 is a wasteful number, since it uses less digits than its factorization.

3332004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 3332004440 is about 57723.5172178550. The cubic root of 3332004440 is about 1493.6030455036.

Adding to 3332004440 its reverse (444002333), we get a palindrome (3776006773).

The spelling of 3332004440 in words is "three billion, three hundred thirty-two million, four thousand, four hundred forty".