34729258789680 has 1920 divisors, whose sum is σ = 140511478118400. Its totient is φ = 6938757955584.

The previous prime is 34729258789609. The next prime is 34729258789711. The reversal of 34729258789680 is 8698785292743.

It is a super-2 number, since 2×34729258789680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 34729258789596 and 34729258789605.

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 383 ways as a sum of consecutive naturals, for example, 151656151806 + ... + 151656152034.

It is an arithmetic number, because the mean of its divisors is an integer number (73183061520).

Almost surely, 2^{34729258789680} is an apocalyptic number.

34729258789680 is a gapful number since it is divisible by the number (30) 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 34729258789680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70255739059200).

34729258789680 is an abundant number, since it is smaller than the sum of its proper divisors (105782219328720).

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

34729258789680 is a wasteful number, since it uses less digits than its factorization.

34729258789680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 2926264320, while the sum is 78.

The spelling of 34729258789680 in words is "thirty-four trillion, seven hundred twenty-nine billion, two hundred fifty-eight million, seven hundred eighty-nine thousand, six hundred eighty".