34807430385 has 288 divisors, whose sum is σ = 81804183552. Its totient is φ = 13272698880.

The previous prime is 34807430377. The next prime is 34807430389. The reversal of 34807430385 is 58303470843.

It is not a de Polignac number, because 34807430385 - 2³ = 34807430377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 34807430385.

It is not an unprimeable number, because it can be changed into a prime (34807430389) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 274074192 + ... + 274074318.

It is an arithmetic number, because the mean of its divisors is an integer number (284042304).

Almost surely, 2^34807430385 is an apocalyptic number.

34807430385 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34807430385 is an abundant number, since it is smaller than the sum of its proper divisors (46996753167).

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

34807430385 is a wasteful number, since it uses less digits than its factorization.

34807430385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 34807430385 in words is "thirty-four billion, eight hundred seven million, four hundred thirty thousand, three hundred eighty-five".