344442400 has 36 divisors (see below), whose sum is σ = 840871962. Its totient is φ = 137776640.

The previous prime is 344442391. The next prime is 344442437. The reversal of 344442400 is 4244443.

It can be written as a sum of positive squares in 3 ways, for example, as 238517136 + 105925264 = 15444^2 + 10292^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 5 ways as a sum of consecutive naturals, for example, 214477 + ... + 216076.

Almost surely, 2^344442400 is an apocalyptic number.

It is an amenable number.

344442400 is an abundant number, since it is smaller than the sum of its proper divisors (496429562).

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

344442400 is a wasteful number, since it uses less digits than its factorization.

344442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430573 (or 430560 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 344442400 is about 18559.1594637257. The cubic root of 344442400 is about 700.9798522634.

Adding to 344442400 its reverse (4244443), we get a palindrome (348686843).

The spelling of 344442400 in words is "three hundred forty-four million, four hundred forty-two thousand, four hundred".