34034952 has 96 divisors (see below), whose sum is σ = 103446720. Its totient is φ = 9139200.

The previous prime is 34034939. The next prime is 34034953. The reversal of 34034952 is 25943043.

It is not an unprimeable number, because it can be changed into a prime (34034953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48202 + ... + 48902.

It is an arithmetic number, because the mean of its divisors is an integer number (1077570).

Almost surely, 2^34034952 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 34034952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51723360).

34034952 is an abundant number, since it is smaller than the sum of its proper divisors (69411768).

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

34034952 is a wasteful number, since it uses less digits than its factorization.

34034952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 34034952 is about 5833.9482342578. The cubic root of 34034952 is about 324.0721528075.

Adding to 34034952 its reverse (25943043), we get a palindrome (59977995).

The spelling of 34034952 in words is "thirty-four million, thirty-four thousand, nine hundred fifty-two".