34108218144 has 864 divisors, whose sum is σ = 138126643200. Its totient is φ = 7731210240.

The previous prime is 34108218127. The next prime is 34108218149. The reversal of 34108218144 is 44181280143.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 34108218099 and 34108218108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34108218149) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71206897 + ... + 71207375.

It is an arithmetic number, because the mean of its divisors is an integer number (159868800).

Almost surely, 2^34108218144 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 34108218144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69063321600).

34108218144 is an abundant number, since it is smaller than the sum of its proper divisors (104018425056).

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

34108218144 is a wasteful number, since it uses less digits than its factorization.

34108218144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Adding to 34108218144 its reverse (44181280143), we get a palindrome (78289498287).

It can be divided in two parts, 34108 and 218144, that added together give a palindrome (252252).

The spelling of 34108218144 in words is "thirty-four billion, one hundred eight million, two hundred eighteen thousand, one hundred forty-four".