34130414304 has 72 divisors (see below), whose sum is σ = 110923853040. Its totient is φ = 9751546368.

The previous prime is 34130414299. The next prime is 34130414309. The reversal of 34130414304 is 40341403143.

34130414304 is a `hidden beast` number, since 3 + 41 + 304 + 14 + 304 = 666.

It is an interprime number because it is at equal distance from previous prime (34130414299) and next prime (34130414309).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34130414309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8462869 + ... + 8466900.

It is an arithmetic number, because the mean of its divisors is an integer number (1540609070).

Almost surely, 2^34130414304 is an apocalyptic number.

It is an amenable number.

34130414304 is an abundant number, since it is smaller than the sum of its proper divisors (76793438736).

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

34130414304 is a wasteful number, since it uses less digits than its factorization.

34130414304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16929792 (or 16929781 counting only the distinct ones).

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

Adding to 34130414304 its reverse (40341403143), we get a palindrome (74471817447).

The spelling of 34130414304 in words is "thirty-four billion, one hundred thirty million, four hundred fourteen thousand, three hundred four".