34092320 has 48 divisors (see below), whose sum is σ = 82523448. Its totient is φ = 13301760.

The previous prime is 34092319. The next prime is 34092323. The reversal of 34092320 is 2329043.

It can be written as a sum of positive squares in 4 ways, for example, as 17673616 + 16418704 = 4204^2 + 4052^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34092323) 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 7 ways as a sum of consecutive naturals, for example, 3962 + ... + 9158.

Almost surely, 2^34092320 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 34092320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41261724).

34092320 is an abundant number, since it is smaller than the sum of its proper divisors (48431128).

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

34092320 is a wasteful number, since it uses less digits than its factorization.

34092320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5253 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 34092320 is about 5838.8629029975. The cubic root of 34092320 is about 324.2541317665.

The spelling of 34092320 in words is "thirty-four million, ninety-two thousand, three hundred twenty".