34441000031 has 16 divisors (see below), whose sum is σ = 36553875456. Its totient is φ = 32396760000.

The previous prime is 34440999991. The next prime is 34441000037. The reversal of 34441000031 is 13000014443.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34441000031 - 2²² = 34436805727 is a prime.

It is a super-2 number, since 2×34441000031² (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 = 34440999967 and 34441000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34441000037) 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 15 ways as a sum of consecutive naturals, for example, 294446 + ... + 394436.

It is an arithmetic number, because the mean of its divisors is an integer number (2284617216).

Almost surely, 2^34441000031 is an apocalyptic number.

34441000031 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

34441000031 is a deficient number, since it is larger than the sum of its proper divisors (2112875425).

34441000031 is a wasteful number, since it uses less digits than its factorization.

34441000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100334.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34441000031 its reverse (13000014443), we get a palindrome (47441014474).

The spelling of 34441000031 in words is "thirty-four billion, four hundred forty-one million, thirty-one", and thus it is an aban number.