343440400 has 60 divisors (see below), whose sum is σ = 833383044. Its totient is φ = 136000000.

The previous prime is 343440373. The next prime is 343440437. The reversal of 343440400 is 4044343.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3111696 + 340328704 = 1764^2 + 18448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36150 + ... + 44650.

Almost surely, 2^343440400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416691522).

343440400 is an abundant number, since it is smaller than the sum of its proper divisors (489942644).

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

343440400 is a wasteful number, since it uses less digits than its factorization.

343440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8620 (or 8609 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 343440400 is about 18532.1450458386. The cubic root of 343440400 is about 700.2994637063.

Adding to 343440400 its reverse (4044343), we get a palindrome (347484743).

It can be divided in two parts, 3434 and 40400, that added together give a palindrome (43834).

The spelling of 343440400 in words is "three hundred forty-three million, four hundred forty thousand, four hundred".