34270880 has 96 divisors (see below), whose sum is σ = 95147136. Its totient is φ = 11418624.

The previous prime is 34270879. The next prime is 34270883. The reversal of 34270880 is 8807243.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (34270883) 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, 41027 + ... + 41853.

It is an arithmetic number, because the mean of its divisors is an integer number (991116).

Almost surely, 2^34270880 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 34270880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47573568).

34270880 is an abundant number, since it is smaller than the sum of its proper divisors (60876256).

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

34270880 is a wasteful number, since it uses less digits than its factorization.

34270880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 34270880 is about 5854.1335823502. The cubic root of 34270880 is about 324.8192446555.

The spelling of 34270880 in words is "thirty-four million, two hundred seventy thousand, eight hundred eighty".