34033008 has 80 divisors (see below), whose sum is σ = 94993920. Its totient is φ = 10467072.

The previous prime is 34033003. The next prime is 34033019. The reversal of 34033008 is 80033043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34033003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31485 + ... + 32547.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 2^34033008 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 34033008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47496960).

34033008 is an abundant number, since it is smaller than the sum of its proper divisors (60960912).

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

34033008 is a wasteful number, since it uses less digits than its factorization.

34033008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 34033008 is about 5833.7816208699. The cubic root of 34033008 is about 324.0659825989.

The spelling of 34033008 in words is "thirty-four million, thirty-three thousand, eight".