344834253104 has 160 divisors (see below), whose sum is σ = 793075906560. Its totient is φ = 143501414400.

The previous prime is 344834253091. The next prime is 344834253149. The reversal of 344834253104 is 401352438443.

It is a super-2 number, since 2×344834253104² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90911432 + ... + 90915224.

It is an arithmetic number, because the mean of its divisors is an integer number (4956724416).

Almost surely, 2^344834253104 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 344834253104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396537953280).

344834253104 is an abundant number, since it is smaller than the sum of its proper divisors (448241653456).

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

344834253104 is a wasteful number, since it uses less digits than its factorization.

344834253104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4739 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 41.

The spelling of 344834253104 in words is "three hundred forty-four billion, eight hundred thirty-four million, two hundred fifty-three thousand, one hundred four".