34298320 has 80 divisors (see below), whose sum is σ = 92494080. Its totient is φ = 11584512.

The previous prime is 34298317. The next prime is 34298321. The reversal of 34298320 is 2389243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×34298320³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34298321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40461 + ... + 41299.

It is an arithmetic number, because the mean of its divisors is an integer number (1156176).

Almost surely, 2^34298320 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 34298320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46247040).

34298320 is an abundant number, since it is smaller than the sum of its proper divisors (58195760).

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

34298320 is a wasteful number, since it uses less digits than its factorization.

34298320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 34298320 is about 5856.4767565491. The cubic root of 34298320 is about 324.9059135933.

The spelling of 34298320 in words is "thirty-four million, two hundred ninety-eight thousand, three hundred twenty".