344933017104 has 80 divisors (see below), whose sum is σ = 960599267712. Its totient is φ = 106025078784.

The previous prime is 344933017103. The next prime is 344933017111. The reversal of 344933017104 is 401710339443.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (344933017103) 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, 332224 + ... + 894560.

Almost surely, 2^344933017104 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 344933017104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480299633856).

344933017104 is an abundant number, since it is smaller than the sum of its proper divisors (615666250608).

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

344933017104 is a wasteful number, since it uses less digits than its factorization.

344933017104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563344 (or 563338 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 344933017104 in words is "three hundred forty-four billion, nine hundred thirty-three million, seventeen thousand, one hundred four".