34546840054272 has 2400 divisors, whose sum is σ = 135174610771200. Its totient is φ = 8412034498560.

The previous prime is 34546840054267. The next prime is 34546840054291. The reversal of 34546840054272 is 27245004864543.

It is a happy number.

34546840054272 is a `hidden beast` number, since 3 + 4 + 54 + 6 + 8 + 40 + 0 + 542 + 7 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 173602211229 + ... + 173602211427.

It is an arithmetic number, because the mean of its divisors is an integer number (56322754488).

Almost surely, 2^{34546840054272} is an apocalyptic number.

34546840054272 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 34546840054272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67587305385600).

34546840054272 is an abundant number, since it is smaller than the sum of its proper divisors (100627770716928).

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

34546840054272 is a wasteful number, since it uses less digits than its factorization.

34546840054272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 54.

The spelling of 34546840054272 in words is "thirty-four trillion, five hundred forty-six billion, eight hundred forty million, fifty-four thousand, two hundred seventy-two".