34144800 has 144 divisors (see below), whose sum is σ = 114180192. Its totient is φ = 8857600.

The previous prime is 34144753. The next prime is 34144813. The reversal of 34144800 is 844143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98227 + ... + 98573.

It is an arithmetic number, because the mean of its divisors is an integer number (792918).

Almost surely, 2^34144800 is an apocalyptic number.

34144800 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 34144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57090096).

34144800 is an abundant number, since it is smaller than the sum of its proper divisors (80035392).

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

34144800 is a wasteful number, since it uses less digits than its factorization.

34144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 34144800 is about 5843.3552005676. The cubic root of 34144800 is about 324.4204266257.

Adding to 34144800 its reverse (844143), we get a palindrome (34988943).

The spelling of 34144800 in words is "thirty-four million, one hundred forty-four thousand, eight hundred".