34032142224 has 240 divisors, whose sum is σ = 101594997504. Its totient is φ = 11022480000.

The previous prime is 34032142159. The next prime is 34032142229. The reversal of 34032142224 is 42224123043.

34032142224 is a `hidden beast` number, since 3 + 403 + 214 + 22 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34032142229) 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 47 ways as a sum of consecutive naturals, for example, 41962779 + ... + 41963589.

Almost surely, 2^34032142224 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 34032142224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50797498752).

34032142224 is an abundant number, since it is smaller than the sum of its proper divisors (67562855280).

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

34032142224 is a wasteful number, since it uses less digits than its factorization.

34032142224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34032142224 its reverse (42224123043), we get a palindrome (76256265267).

The spelling of 34032142224 in words is "thirty-four billion, thirty-two million, one hundred forty-two thousand, two hundred twenty-four".