3013332032 has 56 divisors (see below), whose sum is σ = 6053983320. Its totient is φ = 1488015360.

The previous prime is 3013332001. The next prime is 3013332041. The reversal of 3013332032 is 2302333103.

It can be written as a sum of positive squares in 4 ways, for example, as 47004736 + 2966327296 = 6856^2 + 54464^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3013331995 and 3013332013.

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, 3215468 + ... + 3216404.

It is an arithmetic number, because the mean of its divisors is an integer number (108106845).

Almost surely, 2^3013332032 is an apocalyptic number.

3013332032 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 3013332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026991660).

3013332032 is an abundant number, since it is smaller than the sum of its proper divisors (3040651288).

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

3013332032 is a wasteful number, since it uses less digits than its factorization.

3013332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 3013332032 is about 54893.8250807866. The cubic root of 3013332032 is about 1444.3828707761.

Adding to 3013332032 its reverse (2302333103), we get a palindrome (5315665135).

It can be divided in two parts, 301 and 3332032, that added together give a palindrome (3332333).

The spelling of 3013332032 in words is "three billion, thirteen million, three hundred thirty-two thousand, thirty-two".