344404200 has 192 divisors, whose sum is σ = 1249205760. Its totient is φ = 76849920.

The previous prime is 344404189. The next prime is 344404201. The reversal of 344404200 is 2404443.

It is a super-2 number, since 2×344404200² = 237228505955280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (344404201) 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, 179647 + ... + 181553.

It is an arithmetic number, because the mean of its divisors is an integer number (6506280).

Almost surely, 2^344404200 is an apocalyptic number.

344404200 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 344404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624602880).

344404200 is an abundant number, since it is smaller than the sum of its proper divisors (904801560).

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

344404200 is a wasteful number, since it uses less digits than its factorization.

344404200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1967 counting only the distinct ones).

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

The square root of 344404200 is about 18558.1302937553. The cubic root of 344404200 is about 700.9539375093.

Adding to 344404200 its reverse (2404443), we get a palindrome (346808643).

The spelling of 344404200 in words is "three hundred forty-four million, four hundred four thousand, two hundred".