344930772480 has 480 divisors, whose sum is σ = 1358213399136. Its totient is φ = 74202218496.

The previous prime is 344930772449. The next prime is 344930772481. The reversal of 344930772480 is 84277039443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344930772481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6370482 + ... + 6424398.

Almost surely, 2^344930772480 is an apocalyptic number.

344930772480 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 344930772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679106699568).

344930772480 is an abundant number, since it is smaller than the sum of its proper divisors (1013282626656).

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

344930772480 is a wasteful number, since it uses less digits than its factorization.

344930772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53974 (or 53951 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 344930772480 in words is "three hundred forty-four billion, nine hundred thirty million, seven hundred seventy-two thousand, four hundred eighty".