344580400 has 60 divisors (see below), whose sum is σ = 848086344. Its totient is φ = 134464000.

The previous prime is 344580389. The next prime is 344580419. The reversal of 344580400 is 4085443.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5895 + ... + 26905.

Almost surely, 2^344580400 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 344580400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424043172).

344580400 is an abundant number, since it is smaller than the sum of its proper divisors (503505944).

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

344580400 is a wasteful number, since it uses less digits than its factorization.

344580400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21070 (or 21059 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 344580400 is about 18562.8769321999. The cubic root of 344580400 is about 701.0734550483.

It can be divided in two parts, 3445 and 80400, that added together give a triangular number (83845 = T₄₀₉).

The spelling of 344580400 in words is "three hundred forty-four million, five hundred eighty thousand, four hundred".