34444968946368 has 224 divisors, whose sum is σ = 99745467402240. Its totient is φ = 10443386142720.

The previous prime is 34444968946361. The next prime is 34444968946391. The reversal of 34444968946368 is 86364986944443.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34444968946293 and 34444968946302.

It is not an unprimeable number, because it can be changed into a prime (34444968946361) 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, 73935663 + ... + 74400081.

Almost surely, 2^{34444968946368} 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 34444968946368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49872733701120).

34444968946368 is an abundant number, since it is smaller than the sum of its proper divisors (65300498455872).

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

34444968946368 is a wasteful number, since it uses less digits than its factorization.

34444968946368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465215 (or 465205 counting only the distinct ones).

The product of its digits is 10319560704, while the sum is 78.

The spelling of 34444968946368 in words is "thirty-four trillion, four hundred forty-four billion, nine hundred sixty-eight million, nine hundred forty-six thousand, three hundred sixty-eight".