34209096 has 64 divisors (see below), whose sum is σ = 92361600. Its totient is φ = 10526208.

The previous prime is 34209079. The next prime is 34209103. The reversal of 34209096 is 69090243.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14940 + ... + 17076.

It is an arithmetic number, because the mean of its divisors is an integer number (1443150).

Almost surely, 2^34209096 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 34209096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46180800).

34209096 is an abundant number, since it is smaller than the sum of its proper divisors (58152504).

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

34209096 is a wasteful number, since it uses less digits than its factorization.

34209096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 34209096 is about 5848.8542467735. The cubic root of 34209096 is about 324.6239310802.

The spelling of 34209096 in words is "thirty-four million, two hundred nine thousand, ninety-six".