344448216 has 192 divisors, whose sum is σ = 1111219200. Its totient is φ = 94348800.

The previous prime is 344448187. The next prime is 344448229. The reversal of 344448216 is 612844443.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1632351 + ... + 1632561.

It is an arithmetic number, because the mean of its divisors is an integer number (5787600).

Almost surely, 2^344448216 is an apocalyptic number.

344448216 is a gapful number since it is divisible by the number (36) 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 344448216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555609600).

344448216 is an abundant number, since it is smaller than the sum of its proper divisors (766770984).

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

344448216 is a wasteful number, since it uses less digits than its factorization.

344448216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 343 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 344448216 is about 18559.3161511948. The cubic root of 344448216 is about 700.9837976506.

The spelling of 344448216 in words is "three hundred forty-four million, four hundred forty-eight thousand, two hundred sixteen".