343424400 has 120 divisors (see below), whose sum is σ = 1200158304. Its totient is φ = 83251200.

The previous prime is 343424377. The next prime is 343424423. The reversal of 343424400 is 4424343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (343424377) and next prime (343424423).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192 + ... + 26208.

Almost surely, 2^343424400 is an apocalyptic number.

343424400 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 343424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600079152).

343424400 is an abundant number, since it is smaller than the sum of its proper divisors (856733904).

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

343424400 is a wasteful number, since it uses less digits than its factorization.

343424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26049 (or 26038 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 343424400 is about 18531.7133584566. The cubic root of 343424400 is about 700.2885884905.

Adding to 343424400 its reverse (4424343), we get a palindrome (347848743).

The spelling of 343424400 in words is "three hundred forty-three million, four hundred twenty-four thousand, four hundred".