344861969088 has 1344 divisors, whose sum is σ = 1301707653120. Its totient is φ = 78063575040.

The previous prime is 344861969063. The next prime is 344861969093. The reversal of 344861969088 is 880969168443.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7337488681 + ... + 7337488727.

It is an arithmetic number, because the mean of its divisors is an integer number (968532480).

Almost surely, 2^344861969088 is an apocalyptic number.

344861969088 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344861969088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650853826560).

344861969088 is an abundant number, since it is smaller than the sum of its proper divisors (956845684032).

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

344861969088 is a wasteful number, since it uses less digits than its factorization.

344861969088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 66.

The spelling of 344861969088 in words is "three hundred forty-four billion, eight hundred sixty-one million, nine hundred sixty-nine thousand, eighty-eight".