344199680 has 160 divisors (see below), whose sum is σ = 954581760. Its totient is φ = 117637120.

The previous prime is 344199679. The next prime is 344199689. The reversal of 344199680 is 86991443.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (344199689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478361 + ... + 479079.

It is an arithmetic number, because the mean of its divisors is an integer number (5966136).

Almost surely, 2^344199680 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 344199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477290880).

344199680 is an abundant number, since it is smaller than the sum of its proper divisors (610382080).

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

344199680 is a wasteful number, since it uses less digits than its factorization.

344199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 344199680 is about 18552.6192220937. The cubic root of 344199680 is about 700.8151592114.

The spelling of 344199680 in words is "three hundred forty-four million, one hundred ninety-nine thousand, six hundred eighty".