344144400 has 240 divisors, whose sum is σ = 1184936064. Its totient is φ = 85155840.

The previous prime is 344144389. The next prime is 344144407. The reversal of 344144400 is 4441443.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (344144407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1021032 + ... + 1021368.

Almost surely, 2^344144400 is an apocalyptic number.

344144400 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 344144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592468032).

344144400 is an abundant number, since it is smaller than the sum of its proper divisors (840791664).

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

344144400 is a wasteful number, since it uses less digits than its factorization.

344144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 344144400 is about 18551.1293456760. The cubic root of 344144400 is about 700.7776391919. Note that the first 3 decimals are identical.

Adding to 344144400 its reverse (4441443), we get a palindrome (348585843).

The spelling of 344144400 in words is "three hundred forty-four million, one hundred forty-four thousand, four hundred".