34991952 has 40 divisors (see below), whose sum is σ = 91422720. Its totient is φ = 11531520.

The previous prime is 34991941. The next prime is 34991953. The reversal of 34991952 is 25919943.

34991952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34991953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177 + ... + 8367.

It is an arithmetic number, because the mean of its divisors is an integer number (2285568).

Almost surely, 2^34991952 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 34991952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45711360).

34991952 is an abundant number, since it is smaller than the sum of its proper divisors (56430768).

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

34991952 is a wasteful number, since it uses less digits than its factorization.

34991952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8291 (or 8285 counting only the distinct ones).

The product of its digits is 87480, while the sum is 42.

The square root of 34991952 is about 5915.3995638503. The cubic root of 34991952 is about 327.0815571525.

The spelling of 34991952 in words is "thirty-four million, nine hundred ninety-one thousand, nine hundred fifty-two".