34144400 has 30 divisors (see below), whose sum is σ = 82032882. Its totient is φ = 13657600.

The previous prime is 34144343. The next prime is 34144417. The reversal of 34144400 is 444143.

It can be written as a sum of positive squares in 3 ways, for example, as 4376464 + 29767936 = 2092^2 + 5456^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 42281 + ... + 43080.

Almost surely, 2^34144400 is an apocalyptic number.

It is an amenable number.

34144400 is an abundant number, since it is smaller than the sum of its proper divisors (47888482).

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

34144400 is a wasteful number, since it uses less digits than its factorization.

34144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85379 (or 85368 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 34144400 is about 5843.3209735560. The cubic root of 34144400 is about 324.4191597790.

Adding to 34144400 its reverse (444143), we get a palindrome (34588543).

The spelling of 34144400 in words is "thirty-four million, one hundred forty-four thousand, four hundred".