34236411444 has 72 divisors (see below), whose sum is σ = 90334258560. Its totient is φ = 10912389312.

The previous prime is 34236411427. The next prime is 34236411449. The reversal of 34236411444 is 44411463243.

34236411444 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 641 + 1 + 4 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 34236411399 and 34236411408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34236411449) 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 23 ways as a sum of consecutive naturals, for example, 3869794 + ... + 3878630.

It is an arithmetic number, because the mean of its divisors is an integer number (1254642480).

Almost surely, 2^34236411444 is an apocalyptic number.

It is an amenable number.

34236411444 is an abundant number, since it is smaller than the sum of its proper divisors (56097847116).

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

34236411444 is a wasteful number, since it uses less digits than its factorization.

34236411444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13549 (or 13544 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 34236411444 its reverse (44411463243), we get a palindrome (78647874687).

The spelling of 34236411444 in words is "thirty-four billion, two hundred thirty-six million, four hundred eleven thousand, four hundred forty-four".