34412104010304 has 56 divisors (see below), whose sum is σ = 101165213183520. Its totient is φ = 11470701336192.

The previous prime is 34412104010299. The next prime is 34412104010309. The reversal of 34412104010304 is 40301040121443.

34412104010304 is a `hidden beast` number, since 3 + 4 + 41 + 210 + 401 + 0 + 3 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (34412104010299) and next prime (34412104010309).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34412104010309) 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 7 ways as a sum of consecutive naturals, for example, 9957204294 + ... + 9957207749.

Almost surely, 2^{34412104010304} is an apocalyptic number.

It is an amenable number.

34412104010304 is an abundant number, since it is smaller than the sum of its proper divisors (66753109173216).

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

34412104010304 is a wasteful number, since it uses less digits than its factorization.

34412104010304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19914412064 (or 19914412048 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 34412104010304 its reverse (40301040121443), we get a palindrome (74713144131747).

The spelling of 34412104010304 in words is "thirty-four trillion, four hundred twelve billion, one hundred four million, ten thousand, three hundred four".