34054441036 has 96 divisors (see below), whose sum is σ = 76779601920. Its totient is φ = 12826209600.

The previous prime is 34054441009. The next prime is 34054441037. The reversal of 34054441036 is 63014445043.

It is a junction number, because it is equal to n+sod(n) for n = 34054440992 and 34054441010.

It is not an unprimeable number, because it can be changed into a prime (34054441037) 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, 15457111 + ... + 15459313.

It is an arithmetic number, because the mean of its divisors is an integer number (799787520).

Almost surely, 2^34054441036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34054441036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38389800960).

34054441036 is an abundant number, since it is smaller than the sum of its proper divisors (42725160884).

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

34054441036 is a wasteful number, since it uses less digits than its factorization.

34054441036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 34054441036 its reverse (63014445043), we get a palindrome (97068886079).

The spelling of 34054441036 in words is "thirty-four billion, fifty-four million, four hundred forty-one thousand, thirty-six".