34865260447968 has 288 divisors, whose sum is σ = 104178663388800. Its totient is φ = 11050081689600.

The previous prime is 34865260447933. The next prime is 34865260447999. The reversal of 34865260447968 is 86974406256843.

34865260447968 is a `hidden beast` number, since 3 + 4 + 8 + 6 + 5 + 2 + 604 + 4 + 7 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×34865260447968³ (a number of 42 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 = 34865260447896 and 34865260447905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78289353 + ... + 78733431.

It is an arithmetic number, because the mean of its divisors is an integer number (361731470100).

Almost surely, 2^{34865260447968} 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 34865260447968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52089331694400).

34865260447968 is an abundant number, since it is smaller than the sum of its proper divisors (69313402940832).

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

34865260447968 is a wasteful number, since it uses less digits than its factorization.

34865260447968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444306 (or 444295 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 72.

The spelling of 34865260447968 in words is "thirty-four trillion, eight hundred sixty-five billion, two hundred sixty million, four hundred forty-seven thousand, nine hundred sixty-eight".