34238880 has 288 divisors, whose sum is σ = 132088320. Its totient is φ = 8017920.

The previous prime is 34238861. The next prime is 34238891. The reversal of 34238880 is 8883243.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 580291 + ... + 580349.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 2^34238880 is an apocalyptic number.

34238880 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 34238880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

34238880 is an abundant number, since it is smaller than the sum of its proper divisors (97849440).

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

34238880 is a wasteful number, since it uses less digits than its factorization.

34238880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 34238880 is about 5851.3998325187. The cubic root of 34238880 is about 324.7181145546.

The spelling of 34238880 in words is "thirty-four million, two hundred thirty-eight thousand, eight hundred eighty".