34441004131 has 16 divisors (see below), whose sum is σ = 35834164128. Its totient is φ = 33077094400.

The previous prime is 34441004119. The next prime is 34441004137. The reversal of 34441004131 is 13140014443.

It is a de Polignac number, because none of the positive numbers 2^k-34441004131 is a prime.

It is a super-2 number, since 2×34441004131² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34441004096 and 34441004105.

It is not an unprimeable number, because it can be changed into a prime (34441004137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 938235 + ... + 974251.

It is an arithmetic number, because the mean of its divisors is an integer number (2239635258).

Almost surely, 2^34441004131 is an apocalyptic number.

34441004131 is a deficient number, since it is larger than the sum of its proper divisors (1393159997).

34441004131 is a wasteful number, since it uses less digits than its factorization.

34441004131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36422.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 34441004131 its reverse (13140014443), we get a palindrome (47581018574).

The spelling of 34441004131 in words is "thirty-four billion, four hundred forty-one million, four thousand, one hundred thirty-one".