33012434032 has 80 divisors (see below), whose sum is σ = 69923877760. Its totient is φ = 15045440256.

The previous prime is 33012434017. The next prime is 33012434057. The reversal of 33012434032 is 23043421033.

It is a junction number, because it is equal to n+sod(n) for n = 33012433988 and 33012434006.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 856978 + ... + 894670.

It is an arithmetic number, because the mean of its divisors is an integer number (874048472).

Almost surely, 2^33012434032 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 33012434032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34961938880).

33012434032 is an abundant number, since it is smaller than the sum of its proper divisors (36911443728).

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

33012434032 is a wasteful number, since it uses less digits than its factorization.

33012434032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37830 (or 37824 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 33012434032 its reverse (23043421033), we get a palindrome (56055855065).

The spelling of 33012434032 in words is "thirty-three billion, twelve million, four hundred thirty-four thousand, thirty-two".