34838280 has 192 divisors, whose sum is σ = 121305600. Its totient is φ = 8655360.

The previous prime is 34838273. The next prime is 34838281. The reversal of 34838280 is 8283843.

It is a happy number.

34838280 is a `hidden beast` number, since 348 + 38 + 280 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34838281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490645 + ... + 490715.

It is an arithmetic number, because the mean of its divisors is an integer number (631800).

Almost surely, 2^34838280 is an apocalyptic number.

34838280 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 34838280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60652800).

34838280 is an abundant number, since it is smaller than the sum of its proper divisors (86467320).

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

34838280 is a wasteful number, since it uses less digits than its factorization.

34838280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 157 counting only the distinct ones).

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

The square root of 34838280 is about 5902.3961236095. The cubic root of 34838280 is about 326.6020465450.

The spelling of 34838280 in words is "thirty-four million, eight hundred thirty-eight thousand, two hundred eighty".