34885280 has 48 divisors (see below), whose sum is σ = 84188160. Its totient is φ = 13654272.

The previous prime is 34885267. The next prime is 34885283. The reversal of 34885280 is 8258843.

It is not an unprimeable number, because it can be changed into a prime (34885283) 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, 5201 + ... + 9839.

It is an arithmetic number, because the mean of its divisors is an integer number (1753920).

Almost surely, 2^34885280 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 34885280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42094080).

34885280 is an abundant number, since it is smaller than the sum of its proper divisors (49302880).

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

34885280 is a wasteful number, since it uses less digits than its factorization.

34885280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701 (or 4693 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 34885280 is about 5906.3762155826. The cubic root of 34885280 is about 326.7488524759.

The spelling of 34885280 in words is "thirty-four million, eight hundred eighty-five thousand, two hundred eighty".