330404034032 has 80 divisors (see below), whose sum is σ = 670297455360. Its totient is φ = 157474791936.

The previous prime is 330404034029. The next prime is 330404034041. The reversal of 330404034032 is 230430404033.

It is a junction number, because it is equal to n+sod(n) for n = 330404033992 and 330404034010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184892243 + ... + 184894029.

It is an arithmetic number, because the mean of its divisors is an integer number (8378718192).

Almost surely, 2^330404034032 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 330404034032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335148727680).

330404034032 is an abundant number, since it is smaller than the sum of its proper divisors (339893421328).

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

330404034032 is a wasteful number, since it uses less digits than its factorization.

330404034032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

Adding to 330404034032 its reverse (230430404033), we get a palindrome (560834438065).

The spelling of 330404034032 in words is "three hundred thirty billion, four hundred four million, thirty-four thousand, thirty-two".