34057224 has 96 divisors (see below), whose sum is σ = 96314400. Its totient is φ = 10863360.

The previous prime is 34057211. The next prime is 34057267. The reversal of 34057224 is 42275043.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244947 + ... + 245085.

It is an arithmetic number, because the mean of its divisors is an integer number (1003275).

Almost surely, 2^34057224 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 34057224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48157200).

34057224 is an abundant number, since it is smaller than the sum of its proper divisors (62257176).

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

34057224 is a wasteful number, since it uses less digits than its factorization.

34057224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 34057224 is about 5835.8567494413. The cubic root of 34057224 is about 324.1428268327.

The spelling of 34057224 in words is "thirty-four million, fifty-seven thousand, two hundred twenty-four".