34091904 has 128 divisors (see below), whose sum is σ = 112999680. Its totient is φ = 8847360.

The previous prime is 34091891. The next prime is 34091921. The reversal of 34091904 is 40919043.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28992 + ... + 30144.

It is an arithmetic number, because the mean of its divisors is an integer number (882810).

Almost surely, 2^34091904 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 34091904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56499840).

34091904 is an abundant number, since it is smaller than the sum of its proper divisors (78907776).

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

34091904 is a wasteful number, since it uses less digits than its factorization.

34091904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 34091904 is about 5838.8272795143. The cubic root of 34091904 is about 324.2528128940.

The spelling of 34091904 in words is "thirty-four million, ninety-one thousand, nine hundred four".