344042400 has 144 divisors (see below), whose sum is σ = 1206110304. Its totient is φ = 84679680.

The previous prime is 344042383. The next prime is 344042417. The reversal of 344042400 is 4240443.

It is an interprime number because it is at equal distance from previous prime (344042383) and next prime (344042417).

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 23 ways as a sum of consecutive naturals, for example, 25687 + ... + 36713.

It is an arithmetic number, because the mean of its divisors is an integer number (8375766).

Almost surely, 2^344042400 is an apocalyptic number.

344042400 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 344042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603055152).

344042400 is an abundant number, since it is smaller than the sum of its proper divisors (862067904).

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

344042400 is a wasteful number, since it uses less digits than its factorization.

344042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11063 (or 11050 counting only the distinct ones).

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

The square root of 344042400 is about 18548.3799831683. The cubic root of 344042400 is about 700.7083985066.

Adding to 344042400 its reverse (4240443), we get a palindrome (348282843).

The spelling of 344042400 in words is "three hundred forty-four million, forty-two thousand, four hundred".