34441823136 has 48 divisors (see below), whose sum is σ = 103325471424. Its totient is φ = 9840520704.

The previous prime is 34441823131. The next prime is 34441823173. The reversal of 34441823136 is 63132814443.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34441823094 and 34441823103.

It is not an unprimeable number, because it can be changed into a prime (34441823131) 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 7 ways as a sum of consecutive naturals, for example, 25625685 + ... + 25627028.

It is an arithmetic number, because the mean of its divisors is an integer number (2152613988).

Almost surely, 2^34441823136 is an apocalyptic number.

It is an amenable number.

34441823136 is an abundant number, since it is smaller than the sum of its proper divisors (68883648288).

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

34441823136 is a wasteful number, since it uses less digits than its factorization.

34441823136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51252733 (or 51252725 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The spelling of 34441823136 in words is "thirty-four billion, four hundred forty-one million, eight hundred twenty-three thousand, one hundred thirty-six".