34282080 has 288 divisors, whose sum is σ = 141523200. Its totient is φ = 7382016.

The previous prime is 34282067. The next prime is 34282093. The reversal of 34282080 is 8028243.

It is an interprime number because it is at equal distance from previous prime (34282067) and next prime (34282093).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×34282080² = 2350522018252800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191431 + ... + 191609.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 2^34282080 is an apocalyptic number.

34282080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34282080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

34282080 is an abundant number, since it is smaller than the sum of its proper divisors (107241120).

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

34282080 is a wasteful number, since it uses less digits than its factorization.

34282080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 34282080 is about 5855.0900932437. The cubic root of 34282080 is about 324.8546253179.

The spelling of 34282080 in words is "thirty-four million, two hundred eighty-two thousand, eighty".