344418672 has 80 divisors (see below), whose sum is σ = 971444768. Its totient is φ = 104509440.

The previous prime is 344418671. The next prime is 344418779. The reversal of 344418672 is 276814443.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 344418672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344418671) 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, 41772 + ... + 49332.

Almost surely, 2^344418672 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 344418672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485722384).

344418672 is an abundant number, since it is smaller than the sum of its proper divisors (627026096).

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

344418672 is a wasteful number, since it uses less digits than its factorization.

344418672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7658 (or 7652 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 344418672 is about 18558.5201996280. The cubic root of 344418672 is about 700.9637554919.

The spelling of 344418672 in words is "three hundred forty-four million, four hundred eighteen thousand, six hundred seventy-two".