344169216 has 288 divisors, whose sum is σ = 1125835200. Its totient is φ = 103219200.

The previous prime is 344169209. The next prime is 344169229. The reversal of 344169216 is 612961443.

It is a tau number, because it is divible by the number of its divisors (288).

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3407566 + ... + 3407666.

It is an arithmetic number, because the mean of its divisors is an integer number (3909150).

Almost surely, 2^344169216 is an apocalyptic number.

344169216 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 344169216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562917600).

344169216 is an abundant number, since it is smaller than the sum of its proper divisors (781665984).

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

344169216 is a wasteful number, since it uses less digits than its factorization.

344169216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 152 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 344169216 is about 18551.7981877768. The cubic root of 344169216 is about 700.7944829740.

The spelling of 344169216 in words is "three hundred forty-four million, one hundred sixty-nine thousand, two hundred sixteen".