34820320 has 48 divisors (see below), whose sum is σ = 82661040. Its totient is φ = 13860864.

The previous prime is 34820309. The next prime is 34820323. The reversal of 34820320 is 2302843.

It is a junction number, because it is equal to n+sod(n) for n = 34820291 and 34820300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34820323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44896 + ... + 45664.

It is an arithmetic number, because the mean of its divisors is an integer number (1722105).

Almost surely, 2^34820320 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 34820320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41330520).

34820320 is an abundant number, since it is smaller than the sum of its proper divisors (47840720).

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

34820320 is a wasteful number, since it uses less digits than its factorization.

34820320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 34820320 is about 5900.8745114601. The cubic root of 34820320 is about 326.5459130713.

The spelling of 34820320 in words is "thirty-four million, eight hundred twenty thousand, three hundred twenty".