34130412333 has 24 divisors (see below), whose sum is σ = 53102400000. Its totient is φ = 21062242080.

The previous prime is 34130412319. The next prime is 34130412347. The reversal of 34130412333 is 33321403143.

34130412333 is a `hidden beast` number, since 341 + 304 + 12 + 3 + 3 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (34130412319) and next prime (34130412347).

It is not a de Polignac number, because 34130412333 - 2⁶ = 34130412269 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34130412297 and 34130412306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34130412733) 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 23 ways as a sum of consecutive naturals, for example, 2652958 + ... + 2665791.

It is an arithmetic number, because the mean of its divisors is an integer number (2212600000).

Almost surely, 2^34130412333 is an apocalyptic number.

It is an amenable number.

34130412333 is a deficient number, since it is larger than the sum of its proper divisors (18971987667).

34130412333 is a wasteful number, since it uses less digits than its factorization.

34130412333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5318809 (or 5318806 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 34130412333 its reverse (33321403143), we get a palindrome (67451815476).

The spelling of 34130412333 in words is "thirty-four billion, one hundred thirty million, four hundred twelve thousand, three hundred thirty-three".