33234431120 has 160 divisors (see below), whose sum is σ = 85814971776. Its totient is φ = 11968197120.

The previous prime is 33234431117. The next prime is 33234431147. The reversal of 33234431120 is 2113443233.

It is a super-2 number, since 2×33234431120² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33234431120.

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 31 ways as a sum of consecutive naturals, for example, 11391902 + ... + 11394818.

Almost surely, 2^33234431120 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 33234431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42907485888).

33234431120 is an abundant number, since it is smaller than the sum of its proper divisors (52580540656).

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

33234431120 is a wasteful number, since it uses less digits than its factorization.

33234431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 33234431120 its reverse (2113443233), we get a palindrome (35347874353).

The spelling of 33234431120 in words is "thirty-three billion, two hundred thirty-four million, four hundred thirty-one thousand, one hundred twenty".