34849532622072 has 128 divisors (see below), whose sum is σ = 102267514713600. Its totient is φ = 9687300530688.

The previous prime is 34849532622071. The next prime is 34849532622089. The reversal of 34849532622072 is 27022623594843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34849532622071) 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, 105276754 + ... + 105607262.

It is an arithmetic number, because the mean of its divisors is an integer number (798964958700).

Almost surely, 2^{34849532622072} 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 34849532622072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51133757356800).

34849532622072 is an abundant number, since it is smaller than the sum of its proper divisors (67417982091528).

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

34849532622072 is a wasteful number, since it uses less digits than its factorization.

34849532622072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347525 (or 347521 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 34849532622072 in words is "thirty-four trillion, eight hundred forty-nine billion, five hundred thirty-two million, six hundred twenty-two thousand, seventy-two".