343440000 has 400 divisors, whose sum is σ = 1301278770. Its totient is φ = 89856000.

The previous prime is 343439989. The next prime is 343440017. The reversal of 343440000 is 44343.

It can be written as a sum of positive squares in 5 ways, for example, as 16842816 + 326597184 = 4104^2 + 18072^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 6479974 + ... + 6480026.

Almost surely, 2^343440000 is an apocalyptic number.

343440000 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 343440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650639385).

343440000 is an abundant number, since it is smaller than the sum of its proper divisors (957838770).

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

343440000 is an frugal number, since it uses more digits than its factorization.

343440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 343440000 is about 18532.1342537766. The cubic root of 343440000 is about 700.2991918300.

Adding to 343440000 its reverse (44343), we get a palindrome (343484343).

It can be divided in two parts, 3434 and 40000, that added together give a palindrome (43434).

The spelling of 343440000 in words is "three hundred forty-three million, four hundred forty thousand".