3301330032 has 480 divisors, whose sum is σ = 12760849920. Its totient is φ = 768890880.

The previous prime is 3301330007. The next prime is 3301330033. The reversal of 3301330032 is 2300331033.

3301330032 is a `hidden beast` number, since 3 + 301 + 330 + 0 + 32 = 666.

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 = 3301329987 and 3301330014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3301330033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5333019 + ... + 5333637.

It is an arithmetic number, because the mean of its divisors is an integer number (26585104).

Almost surely, 2^3301330032 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 3301330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6380424960).

3301330032 is an abundant number, since it is smaller than the sum of its proper divisors (9459519888).

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

3301330032 is a wasteful number, since it uses less digits than its factorization.

3301330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 692 counting only the distinct ones).

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

The square root of 3301330032 is about 57457.2017418182. The cubic root of 3301330032 is about 1489.0055421517.

Adding to 3301330032 its reverse (2300331033), we get a palindrome (5601661065).

It can be divided in two parts, 3301 and 330032, that added together give a palindrome (333333).

The spelling of 3301330032 in words is "three billion, three hundred one million, three hundred thirty thousand, thirty-two".