344642800 has 60 divisors (see below), whose sum is σ = 831341880. Its totient is φ = 137301760.

The previous prime is 344642747. The next prime is 344642801. The reversal of 344642800 is 8246443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344642801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 105999 + ... + 109201.

It is an arithmetic number, because the mean of its divisors is an integer number (13855698).

Almost surely, 2^344642800 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 344642800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415670940).

344642800 is an abundant number, since it is smaller than the sum of its proper divisors (486699080).

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

344642800 is a wasteful number, since it uses less digits than its factorization.

344642800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 344642800 is about 18564.5576300649. The cubic root of 344642800 is about 701.1157715809.

The spelling of 344642800 in words is "three hundred forty-four million, six hundred forty-two thousand, eight hundred".