34271073606352 has 320 divisors, whose sum is σ = 78497601189120. Its totient is φ = 14322076876800.

The previous prime is 34271073606227. The next prime is 34271073606383. The reversal of 34271073606352 is 25360637017243.

It is a super-2 number, since 2×34271073606352² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34271073606296 and 34271073606305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11995474108 + ... + 11995476964.

It is an arithmetic number, because the mean of its divisors is an integer number (245305003716).

Almost surely, 2^{34271073606352} 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 34271073606352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39248800594560).

34271073606352 is an abundant number, since it is smaller than the sum of its proper divisors (44226527582768).

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

34271073606352 is a wasteful number, since it uses less digits than its factorization.

34271073606352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510 (or 3504 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 49.

The spelling of 34271073606352 in words is "thirty-four trillion, two hundred seventy-one billion, seventy-three million, six hundred six thousand, three hundred fifty-two".