34209448 has 80 divisors (see below), whose sum is σ = 81172980. Its totient is φ = 13434624.

The previous prime is 34209419. The next prime is 34209451. The reversal of 34209448 is 84490243.

34209448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 33431524 + 777924 = 5782^2 + 882^2 .

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 249636 + ... + 249772.

Almost surely, 2^34209448 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 34209448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40586490).

34209448 is an abundant number, since it is smaller than the sum of its proper divisors (46963532).

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

34209448 is a wasteful number, since it uses less digits than its factorization.

34209448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 34209448 is about 5848.8843380597. The cubic root of 34209448 is about 324.6250444998.

The spelling of 34209448 in words is "thirty-four million, two hundred nine thousand, four hundred forty-eight".