34904320 has 144 divisors (see below), whose sum is σ = 95070528. Its totient is φ = 12165120.

The previous prime is 34904297. The next prime is 34904323. The reversal of 34904320 is 2340943.

It is not an unprimeable number, because it can be changed into a prime (34904323) by changing a digit.

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, 520927 + ... + 520993.

It is an arithmetic number, because the mean of its divisors is an integer number (660212).

Almost surely, 2^34904320 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 34904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47535264).

34904320 is an abundant number, since it is smaller than the sum of its proper divisors (60166208).

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

34904320 is a wasteful number, since it uses less digits than its factorization.

34904320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 34904320 is about 5907.9878131222. The cubic root of 34904320 is about 326.8082869676.

The spelling of 34904320 in words is "thirty-four million, nine hundred four thousand, three hundred twenty".