34581013441 has 32 divisors (see below), whose sum is σ = 39437148800. Its totient is φ = 30143026368.

The previous prime is 34581013433. The next prime is 34581013451. The reversal of 34581013441 is 14431018543.

It is not a de Polignac number, because 34581013441 - 2³ = 34581013433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34581013397 and 34581013406.

It is not an unprimeable number, because it can be changed into a prime (34581013451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48773995 + ... + 48774703.

It is an arithmetic number, because the mean of its divisors is an integer number (1232410900).

Almost surely, 2^34581013441 is an apocalyptic number.

It is an amenable number.

34581013441 is a deficient number, since it is larger than the sum of its proper divisors (4856135359).

34581013441 is an equidigital number, since it uses as much as digits as its factorization.

34581013441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 34581013441 in words is "thirty-four billion, five hundred eighty-one million, thirteen thousand, four hundred forty-one".