34427170272 has 192 divisors, whose sum is σ = 100788468480. Its totient is φ = 10202112000.

The previous prime is 34427170243. The next prime is 34427170307. The reversal of 34427170272 is 27207172443.

It is a self number, because there is not a number n which added to its sum of digits gives 34427170272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8850504 + ... + 8854392.

It is an arithmetic number, because the mean of its divisors is an integer number (524939940).

Almost surely, 2^34427170272 is an apocalyptic number.

34427170272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34427170272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50394234240).

34427170272 is an abundant number, since it is smaller than the sum of its proper divisors (66361298208).

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

34427170272 is a wasteful number, since it uses less digits than its factorization.

34427170272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4097 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 39.

The spelling of 34427170272 in words is "thirty-four billion, four hundred twenty-seven million, one hundred seventy thousand, two hundred seventy-two".