34680591855 has 192 divisors, whose sum is σ = 81243122688. Its totient is φ = 13772851200.

The previous prime is 34680591853. The next prime is 34680591857. The reversal of 34680591855 is 55819508643.

34680591855 is a `hidden beast` number, since 3 + 46 + 8 + 0 + 591 + 8 + 5 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (34680591853) and next prime (34680591857).

It is not a de Polignac number, because 34680591855 - 2¹ = 34680591853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34680591853) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1870380 + ... + 1888830.

It is an arithmetic number, because the mean of its divisors is an integer number (423141264).

Almost surely, 2^34680591855 is an apocalyptic number.

34680591855 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34680591855 is an abundant number, since it is smaller than the sum of its proper divisors (46562530833).

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

34680591855 is a wasteful number, since it uses less digits than its factorization.

34680591855 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18508 (or 18496 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 34680591855 in words is "thirty-four billion, six hundred eighty million, five hundred ninety-one thousand, eight hundred fifty-five".