34434400 has 288 divisors, whose sum is σ = 115492608. Its totient is φ = 9676800.

The previous prime is 34434391. The next prime is 34434451. The reversal of 34434400 is 443443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 800779 + ... + 800821.

It is an arithmetic number, because the mean of its divisors is an integer number (401016).

Almost surely, 2^34434400 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 34434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57746304).

34434400 is an abundant number, since it is smaller than the sum of its proper divisors (81058208).

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

34434400 is a wasteful number, since it uses less digits than its factorization.

34434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 81 counting only the distinct ones).

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

The square root of 34434400 is about 5868.0831623282. The cubic root of 34434400 is about 325.3350391084.

Adding to 34434400 its reverse (443443), we get a palindrome (34877843).

It can be divided in two parts, 344 and 34400, that multiplied together give a square (11833600 = 3440²).

The spelling of 34434400 in words is "thirty-four million, four hundred thirty-four thousand, four hundred".