34344400 has 60 divisors (see below), whose sum is σ = 86874400. Its totient is φ = 13011840.

The previous prime is 34344391. The next prime is 34344407. The reversal of 34344400 is 444343.

It is a happy number.

It is a super-2 number, since 2×34344400² = 2359075622720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34344407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5341 + ... + 9859.

Almost surely, 2^34344400 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 34344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43437200).

34344400 is an abundant number, since it is smaller than the sum of its proper divisors (52530000).

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

34344400 is a wasteful number, since it uses less digits than its factorization.

34344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4556 (or 4545 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 34344400 is about 5860.4095420030. The cubic root of 34344400 is about 325.0513528321.

Adding to 34344400 its reverse (444343), we get a palindrome (34788743).

The spelling of 34344400 in words is "thirty-four million, three hundred forty-four thousand, four hundred".