34421382967296 has 208 divisors, whose sum is σ = 100942065552384. Its totient is φ = 10365847928832.

The previous prime is 34421382967277. The next prime is 34421382967303. The reversal of 34421382967296 is 69276928312443.

It is a tau number, because it is divible by the number of its divisors (208).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5215645 + ... + 9800291.

Almost surely, 2^{34421382967296} 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 34421382967296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50471032776192).

34421382967296 is an abundant number, since it is smaller than the sum of its proper divisors (66520682585088).

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

34421382967296 is a wasteful number, since it uses less digits than its factorization.

34421382967296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4584734 (or 4584712 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 66.

The spelling of 34421382967296 in words is "thirty-four trillion, four hundred twenty-one billion, three hundred eighty-two million, nine hundred sixty-seven thousand, two hundred ninety-six".