34431342341004 has 36 divisors (see below), whose sum is σ = 99468322319184. Its totient is φ = 9837526383072.

The previous prime is 34431342340961. The next prime is 34431342341017. The reversal of 34431342341004 is 40014324313443.

34431342341004 is a `hidden beast` number, since 3 + 4 + 4 + 313 + 4 + 234 + 100 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×34431342341004² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34431342341004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68316155187 + ... + 68316155690.

Almost surely, 2^{34431342341004} is an apocalyptic number.

It is an amenable number.

34431342341004 is an abundant number, since it is smaller than the sum of its proper divisors (65036979978180).

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

34431342341004 is a wasteful number, since it uses less digits than its factorization.

34431342341004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136632310894 (or 136632310889 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 34431342341004 its reverse (40014324313443), we get a palindrome (74445666654447).

The spelling of 34431342341004 in words is "thirty-four trillion, four hundred thirty-one billion, three hundred forty-two million, three hundred forty-one thousand, four".