34099056 has 100 divisors (see below), whose sum is σ = 100196712. Its totient is φ = 11193984.

The previous prime is 34099049. The next prime is 34099057. The reversal of 34099056 is 65099043.

It is a super-2 number, since 2×34099056² = 2325491240182272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34099056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34099057) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 107410 + ... + 107726.

Almost surely, 2^34099056 is an apocalyptic number.

34099056 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 34099056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50098356).

34099056 is an abundant number, since it is smaller than the sum of its proper divisors (66097656).

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

34099056 is a wasteful number, since it uses less digits than its factorization.

34099056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 34099056 is about 5839.4396991492. The cubic root of 34099056 is about 324.2754858622.

The spelling of 34099056 in words is "thirty-four million, ninety-nine thousand, fifty-six".