344100423744 has 672 divisors, whose sum is σ = 1253005977600. Its totient is φ = 87698350080.

The previous prime is 344100423721. The next prime is 344100423767. The reversal of 344100423744 is 447324001443.

344100423744 is a `hidden beast` number, since 3 + 4 + 410 + 0 + 4 + 237 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (344100423721) and next prime (344100423767).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 344100423699 and 344100423708.

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 95 ways as a sum of consecutive naturals, for example, 706571469 + ... + 706571955.

Almost surely, 2^344100423744 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 344100423744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626502988800).

344100423744 is an abundant number, since it is smaller than the sum of its proper divisors (908905553856).

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

344100423744 is a wasteful number, since it uses less digits than its factorization.

344100423744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 344100423744 in words is "three hundred forty-four billion, one hundred million, four hundred twenty-three thousand, seven hundred forty-four".