34004413130 has 64 divisors (see below), whose sum is σ = 65439511200. Its totient is φ = 12698542080.

The previous prime is 34004413129. The next prime is 34004413133. The reversal of 34004413130 is 3131440043.

It can be written as a sum of positive squares in 16 ways, for example, as 1636445209 + 32367967921 = 40453^2 + 179911^2 .

It is a super-2 number, since 2×34004413130² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34004413096 and 34004413105.

It is not an unprimeable number, because it can be changed into a prime (34004413133) 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 31 ways as a sum of consecutive naturals, for example, 1330916 + ... + 1356224.

Almost surely, 2^34004413130 is an apocalyptic number.

34004413130 is a deficient number, since it is larger than the sum of its proper divisors (31435098070).

34004413130 is a wasteful number, since it uses less digits than its factorization.

34004413130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25499.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 34004413130 its reverse (3131440043), we get a palindrome (37135853173).

The spelling of 34004413130 in words is "thirty-four billion, four million, four hundred thirteen thousand, one hundred thirty".