34130434410 has 48 divisors (see below), whose sum is σ = 88939547424. Its totient is φ = 9080893536.

The previous prime is 34130434363. The next prime is 34130434411. The reversal of 34130434410 is 1443403143.

34130434410 is a `hidden beast` number, since 3 + 4 + 1 + 304 + 344 + 10 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34130434411) 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, 388152 + ... + 467891.

It is an arithmetic number, because the mean of its divisors is an integer number (1852907238).

Almost surely, 2^34130434410 is an apocalyptic number.

34130434410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34130434410 is an abundant number, since it is smaller than the sum of its proper divisors (54809113014).

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

34130434410 is a wasteful number, since it uses less digits than its factorization.

34130434410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856499 (or 856496 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34130434410 its reverse (1443403143), we get a palindrome (35573837553).

The spelling of 34130434410 in words is "thirty-four billion, one hundred thirty million, four hundred thirty-four thousand, four hundred ten".