344895599104 has 160 divisors (see below), whose sum is σ = 814674643200. Its totient is φ = 145782153216.

The previous prime is 344895599071. The next prime is 344895599119. The reversal of 344895599104 is 401995598443.

It is a super-3 number, since 3×344895599104³ (a number of 36 digits) contains 333 as substring.

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, 12806517 + ... + 12833419.

It is an arithmetic number, because the mean of its divisors is an integer number (5091716520).

Almost surely, 2^344895599104 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 344895599104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407337321600).

344895599104 is an abundant number, since it is smaller than the sum of its proper divisors (469779044096).

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

344895599104 is an frugal number, since it uses more digits than its factorization.

344895599104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27015 (or 26985 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 61.

The spelling of 344895599104 in words is "three hundred forty-four billion, eight hundred ninety-five million, five hundred ninety-nine thousand, one hundred four".