344099713675464 has 128 divisors (see below), whose sum is σ = 979269998112000. Its totient is φ = 111888120614400.

The previous prime is 344099713675397. The next prime is 344099713675513. The reversal of 344099713675464 is 464576317990443.

It is a happy number.

344099713675464 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 9 + 9 + 7 + 13 + 67 + 546 + 4 = 666.

It is a super-3 number, since 3×344099713675464³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 344099713675392 and 344099713675401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67310694 + ... + 72242154.

It is an arithmetic number, because the mean of its divisors is an integer number (7650546860250).

Almost surely, 2^{344099713675464} 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 344099713675464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489634999056000).

344099713675464 is an abundant number, since it is smaller than the sum of its proper divisors (635170284436536).

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

344099713675464 is a wasteful number, since it uses less digits than its factorization.

344099713675464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4939396 (or 4939386 counting only the distinct ones).

The product of its (nonzero) digits is 1646023680, while the sum is 72.

The spelling of 344099713675464 in words is "three hundred forty-four trillion, ninety-nine billion, seven hundred thirteen million, six hundred seventy-five thousand, four hundred sixty-four".