33004234440 has 96 divisors (see below), whose sum is σ = 107298804600. Its totient is φ = 8798254080.

The previous prime is 33004234429. The next prime is 33004234447. The reversal of 33004234440 is 4443240033.

It can be written as a sum of positive squares in 4 ways, for example, as 17063151876 + 15941082564 = 130626^2 + 126258^2 .

It is a super-3 number, since 3×33004234440³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (33004234447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1232716 + ... + 1259204.

Almost surely, 2^33004234440 is an apocalyptic number.

33004234440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33004234440 is an abundant number, since it is smaller than the sum of its proper divisors (74294570160).

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

33004234440 is a wasteful number, since it uses less digits than its factorization.

33004234440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29967 (or 29960 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 33004234440 its reverse (4443240033), we get a palindrome (37447474473).

The spelling of 33004234440 in words is "thirty-three billion, four million, two hundred thirty-four thousand, four hundred forty".