34067344793856 has 144 divisors (see below), whose sum is σ = 98929547673600. Its totient is φ = 10321547765760.

The previous prime is 34067344793849. The next prime is 34067344793857. The reversal of 34067344793856 is 65839744376043.

It is not an unprimeable number, because it can be changed into a prime (34067344793857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46122945 + ... + 46855743.

Almost surely, 2^{34067344793856} 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 34067344793856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49464773836800).

34067344793856 is an abundant number, since it is smaller than the sum of its proper divisors (64862202879744).

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

34067344793856 is a wasteful number, since it uses less digits than its factorization.

34067344793856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738332 (or 738318 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 69.

The spelling of 34067344793856 in words is "thirty-four trillion, sixty-seven billion, three hundred forty-four million, seven hundred ninety-three thousand, eight hundred fifty-six".