34272652416 has 128 divisors (see below), whose sum is σ = 91923216000. Its totient is φ = 11313561600.

The previous prime is 34272652387. The next prime is 34272652459. The reversal of 34272652416 is 61425627243.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×34272652416² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18415326 + ... + 18417186.

It is an arithmetic number, because the mean of its divisors is an integer number (718150125).

Almost surely, 2^34272652416 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 34272652416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45961608000).

34272652416 is an abundant number, since it is smaller than the sum of its proper divisors (57650563584).

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

34272652416 is a wasteful number, since it uses less digits than its factorization.

34272652416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2306 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The spelling of 34272652416 in words is "thirty-four billion, two hundred seventy-two million, six hundred fifty-two thousand, four hundred sixteen".