34682836790272 has 352 divisors, whose sum is σ = 83711131305984. Its totient is φ = 14167769088000.

The previous prime is 34682836790269. The next prime is 34682836790291. The reversal of 34682836790272 is 27209763828643.

It is a tau number, because it is divible by the number of its divisors (352).

It is a junction number, because it is equal to n+sod(n) for n = 34682836790198 and 34682836790207.

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, 2646932073 + ... + 2646945175.

Almost surely, 2^{34682836790272} is an apocalyptic number.

34682836790272 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 34682836790272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41855565652992).

34682836790272 is an abundant number, since it is smaller than the sum of its proper divisors (49028294515712).

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

34682836790272 is a wasteful number, since it uses less digits than its factorization.

34682836790272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13775 (or 13757 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 67.

The spelling of 34682836790272 in words is "thirty-four trillion, six hundred eighty-two billion, eight hundred thirty-six million, seven hundred ninety thousand, two hundred seventy-two".