344100066624 has 112 divisors (see below), whose sum is σ = 1011862482240. Its totient is φ = 114669181440.

The previous prime is 344100066623. The next prime is 344100066659. The reversal of 344100066624 is 426660001443.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344100066623) 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 15 ways as a sum of consecutive naturals, for example, 6923527 + ... + 6973049.

Almost surely, 2^344100066624 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 344100066624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505931241120).

344100066624 is an abundant number, since it is smaller than the sum of its proper divisors (667762415616).

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

344100066624 is a wasteful number, since it uses less digits than its factorization.

344100066624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53565 (or 53549 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 344100066624 in words is "three hundred forty-four billion, one hundred million, sixty-six thousand, six hundred twenty-four".