34829056 has 72 divisors (see below), whose sum is σ = 75497184. Its totient is φ = 15974400.

The previous prime is 34829051. The next prime is 34829063. The reversal of 34829056 is 65092843.

It is a super-2 number, since 2×34829056² = 2426126283702272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34829051) 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, 230581 + ... + 230731.

It is an arithmetic number, because the mean of its divisors is an integer number (1048572).

Almost surely, 2^34829056 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 34829056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37748592).

34829056 is an abundant number, since it is smaller than the sum of its proper divisors (40668128).

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

34829056 is a wasteful number, since it uses less digits than its factorization.

34829056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 34829056 is about 5901.6146943019. The cubic root of 34829056 is about 326.5732196034.

The spelling of 34829056 in words is "thirty-four million, eight hundred twenty-nine thousand, fifty-six".