344393929000 has 128 divisors (see below), whose sum is σ = 880000692480. Its totient is φ = 125112096000.

The previous prime is 344393928979. The next prime is 344393929039. The reversal of 344393929000 is 929393443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11678274 + ... + 11707726.

It is an arithmetic number, because the mean of its divisors is an integer number (6875005410).

Almost surely, 2^344393929000 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 344393929000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440000346240).

344393929000 is an abundant number, since it is smaller than the sum of its proper divisors (535606763480).

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

344393929000 is a wasteful number, since it uses less digits than its factorization.

344393929000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30548 (or 30534 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 46.

The spelling of 344393929000 in words is "three hundred forty-four billion, three hundred ninety-three million, nine hundred twenty-nine thousand".