34344500 has 48 divisors (see below), whose sum is σ = 75675600. Its totient is φ = 13616000.

The previous prime is 34344491. The next prime is 34344503. The reversal of 34344500 is 544343.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 21585316 + 12759184 = 4646^2 + 3572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34344503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74270 + ... + 74730.

It is an arithmetic number, because the mean of its divisors is an integer number (1576575).

Almost surely, 2^34344500 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 34344500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37837800).

34344500 is an abundant number, since it is smaller than the sum of its proper divisors (41331100).

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

34344500 is a wasteful number, since it uses less digits than its factorization.

34344500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 34344500 is about 5860.4180738237. The cubic root of 34344500 is about 325.0516683140.

Adding to 34344500 its reverse (544343), we get a palindrome (34888843).

The spelling of 34344500 in words is "thirty-four million, three hundred forty-four thousand, five hundred".