34033133442 has 128 divisors (see below), whose sum is σ = 93760892928. Its totient is φ = 7958016000.

The previous prime is 34033133401. The next prime is 34033133461. The reversal of 34033133442 is 24433133043.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86442 + ... + 274842.

It is an arithmetic number, because the mean of its divisors is an integer number (732506976).

Almost surely, 2^34033133442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34033133442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46880446464).

34033133442 is an abundant number, since it is smaller than the sum of its proper divisors (59727759486).

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

34033133442 is a wasteful number, since it uses less digits than its factorization.

34033133442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188464.

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 34033133442 its reverse (24433133043), we get a palindrome (58466266485).

The spelling of 34033133442 in words is "thirty-four billion, thirty-three million, one hundred thirty-three thousand, four hundred forty-two".