33001002034 has 96 divisors (see below), whose sum is σ = 67621881600. Its totient is φ = 11752456320.

The previous prime is 33001002031. The next prime is 33001002061. The reversal of 33001002034 is 43020010033.

It is a super-2 number, since 2×33001002034² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33001001999 and 33001002017.

It is not an unprimeable number, because it can be changed into a prime (33001002031) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2260992 + ... + 2275540.

It is an arithmetic number, because the mean of its divisors is an integer number (704394600).

Almost surely, 2^33001002034 is an apocalyptic number.

33001002034 is an abundant number, since it is smaller than the sum of its proper divisors (34620879566).

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

33001002034 is a wasteful number, since it uses less digits than its factorization.

33001002034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14696 (or 14685 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 33001002034 its reverse (43020010033), we get a palindrome (76021012067).

The spelling of 33001002034 in words is "thirty-three billion, one million, two thousand, thirty-four".