34442400 has 144 divisors (see below), whose sum is σ = 113992704. Its totient is φ = 9031680.

The previous prime is 34442381. The next prime is 34442413. The reversal of 34442400 is 424443.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271137 + ... + 271263.

It is an arithmetic number, because the mean of its divisors is an integer number (791616).

Almost surely, 2^34442400 is an apocalyptic number.

34442400 is a gapful number since it is divisible by the number (30) 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 34442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56996352).

34442400 is an abundant number, since it is smaller than the sum of its proper divisors (79550304).

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

34442400 is a wasteful number, since it uses less digits than its factorization.

34442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 34442400 is about 5868.7647763392. The cubic root of 34442400 is about 325.3602317334.

Adding to 34442400 its reverse (424443), we get a palindrome (34866843).

The spelling of 34442400 in words is "thirty-four million, four hundred forty-two thousand, four hundred".