344610534912 has 320 divisors, whose sum is σ = 1115686877184. Its totient is φ = 92272066560.

The previous prime is 344610534889. The next prime is 344610534913. The reversal of 344610534912 is 219435016443.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344610534913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44047033 + ... + 44054855.

Almost surely, 2^344610534912 is an apocalyptic number.

344610534912 is a gapful number since it is divisible by the number (32) 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 344610534912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557843438592).

344610534912 is an abundant number, since it is smaller than the sum of its proper divisors (771076342272).

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

344610534912 is a wasteful number, since it uses less digits than its factorization.

344610534912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8109 (or 8093 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 344610534912 in words is "three hundred forty-four billion, six hundred ten million, five hundred thirty-four thousand, nine hundred twelve".