344448264 has 64 divisors (see below), whose sum is σ = 919296000. Its totient is φ = 107231040.

The previous prime is 344448263. The next prime is 344448287. The reversal of 344448264 is 462844443.

It is a happy number.

It is a super-2 number, since 2×344448264² = 237289213145227392, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (344448263) 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 15 ways as a sum of consecutive naturals, for example, 27057 + ... + 37695.

It is an arithmetic number, because the mean of its divisors is an integer number (14364000).

Almost surely, 2^344448264 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 344448264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459648000).

344448264 is an abundant number, since it is smaller than the sum of its proper divisors (574847736).

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

344448264 is a wasteful number, since it uses less digits than its factorization.

344448264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10738 (or 10734 counting only the distinct ones).

The product of its digits is 294912, while the sum is 39.

The square root of 344448264 is about 18559.3174443458. The cubic root of 344448264 is about 700.9838302121.

The spelling of 344448264 in words is "three hundred forty-four million, four hundred forty-eight thousand, two hundred sixty-four".