3314304032 has 48 divisors (see below), whose sum is σ = 7065945432. Its totient is φ = 1521192960.

The previous prime is 3314304017. The next prime is 3314304043. The reversal of 3314304032 is 2304034133.

It can be written as a sum of positive squares in 4 ways, for example, as 1704368656 + 1609935376 = 41284^2 + 40124^2 .

It is a super-2 number, since 2×3314304032² = 21969222433062914048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3314303989 and 3314304007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53288 + ... + 97304.

Almost surely, 2^3314304032 is an apocalyptic number.

3314304032 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 3314304032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532972716).

3314304032 is an abundant number, since it is smaller than the sum of its proper divisors (3751641400).

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

3314304032 is a wasteful number, since it uses less digits than its factorization.

3314304032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44221 (or 44213 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 3314304032 is about 57569.9924613509. The cubic root of 3314304032 is about 1490.9535556511.

Adding to 3314304032 its reverse (2304034133), we get a palindrome (5618338165).

The spelling of 3314304032 in words is "three billion, three hundred fourteen million, three hundred four thousand, thirty-two".