344400000 has 384 divisors, whose sum is σ = 1338664320. Its totient is φ = 76800000.

The previous prime is 344399977. The next prime is 344400037. The reversal of 344400000 is 4443.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×344400000² = 237222720000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8399980 + ... + 8400020.

It is an arithmetic number, because the mean of its divisors is an integer number (3486105).

Almost surely, 2^344400000 is an apocalyptic number.

344400000 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 344400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669332160).

344400000 is an abundant number, since it is smaller than the sum of its proper divisors (994264320).

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

344400000 is an frugal number, since it uses more digits than its factorization.

344400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 344400000 is about 18558.0171354593. The cubic root of 344400000 is about 700.9510881262.

Adding to 344400000 its reverse (4443), we get a palindrome (344404443).

The spelling of 344400000 in words is "three hundred forty-four million, four hundred thousand".