344508864 has 112 divisors (see below), whose sum is σ = 1077772800. Its totient is φ = 95026176.

The previous prime is 344508823. The next prime is 344508869. The reversal of 344508864 is 468805443.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344508869) 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, 34557 + ... + 43395.

Almost surely, 2^344508864 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 344508864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538886400).

344508864 is an abundant number, since it is smaller than the sum of its proper divisors (733263936).

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

344508864 is a wasteful number, since it uses less digits than its factorization.

344508864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8890 (or 8880 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 344508864 is about 18560.9499756882. The cubic root of 344508864 is about 701.0249366554.

The spelling of 344508864 in words is "three hundred forty-four million, five hundred eight thousand, eight hundred sixty-four".