34264692027072 has 672 divisors, whose sum is σ = 109662946219008. Its totient is φ = 10162403868672.

The previous prime is 34264692027047. The next prime is 34264692027091. The reversal of 34264692027072 is 27072029646243.

34264692027072 is a `hidden beast` number, since 3 + 4 + 26 + 469 + 20 + 2 + 70 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10311371203 + ... + 10311374525.

It is an arithmetic number, because the mean of its divisors is an integer number (163188908064).

Almost surely, 2^{34264692027072} is an apocalyptic number.

34264692027072 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 34264692027072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54831473109504).

34264692027072 is an abundant number, since it is smaller than the sum of its proper divisors (75398254191936).

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

34264692027072 is a wasteful number, since it uses less digits than its factorization.

34264692027072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 34264692027072 in words is "thirty-four trillion, two hundred sixty-four billion, six hundred ninety-two million, twenty-seven thousand, seventy-two".