344637004320 has 576 divisors, whose sum is σ = 1469078747136. Its totient is φ = 71747665920.

The previous prime is 344637004253. The next prime is 344637004333. The reversal of 344637004320 is 23400736443.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5279722 + ... + 5344598.

It is an arithmetic number, because the mean of its divisors is an integer number (2550483936).

Almost surely, 2^344637004320 is an apocalyptic number.

344637004320 is a gapful number since it is divisible by the number (30) 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 344637004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734539373568).

344637004320 is an abundant number, since it is smaller than the sum of its proper divisors (1124441742816).

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

344637004320 is a wasteful number, since it uses less digits than its factorization.

344637004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64953 (or 64942 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 344637004320 in words is "three hundred forty-four billion, six hundred thirty-seven million, four thousand, three hundred twenty".