344464272 has 80 divisors (see below), whose sum is σ = 991008000. Its totient is φ = 114558336.

The previous prime is 344464229. The next prime is 344464301. The reversal of 344464272 is 272464443.

344464272 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 642 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310054 + ... + 311162.

It is an arithmetic number, because the mean of its divisors is an integer number (12387600).

Almost surely, 2^344464272 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 344464272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495504000).

344464272 is an abundant number, since it is smaller than the sum of its proper divisors (646543728).

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

344464272 is a wasteful number, since it uses less digits than its factorization.

344464272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1833 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The square root of 344464272 is about 18559.7487051953. The cubic root of 344464272 is about 700.9946892936.

The spelling of 344464272 in words is "three hundred forty-four million, four hundred sixty-four thousand, two hundred seventy-two".