34117056 has 84 divisors (see below), whose sum is σ = 99495864. Its totient is φ = 11174400.

The previous prime is 34117049. The next prime is 34117087. The reversal of 34117056 is 65071143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34651 + ... + 35621.

Almost surely, 2^34117056 is an apocalyptic number.

34117056 is a gapful number since it is divisible by the number (36) 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 34117056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49747932).

34117056 is an abundant number, since it is smaller than the sum of its proper divisors (65378808).

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

34117056 is a wasteful number, since it uses less digits than its factorization.

34117056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 34117056 is about 5840.9807395676. The cubic root of 34117056 is about 324.3325346750.

Adding to 34117056 its reverse (65071143), we get a palindrome (99188199).

The spelling of 34117056 in words is "thirty-four million, one hundred seventeen thousand, fifty-six".