34340333144 has 64 divisors (see below), whose sum is σ = 72218744640. Its totient is φ = 15203704320.

The previous prime is 34340333143. The next prime is 34340333147. The reversal of 34340333144 is 44133304343.

It is a self number, because there is not a number n which added to its sum of digits gives 34340333144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34340333143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210362 + ... + 336054.

It is an arithmetic number, because the mean of its divisors is an integer number (1128417885).

Almost surely, 2^34340333144 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 34340333144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36109372320).

34340333144 is an abundant number, since it is smaller than the sum of its proper divisors (37878411496).

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

34340333144 is a wasteful number, since it uses less digits than its factorization.

34340333144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125820 (or 125816 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 34340333144 its reverse (44133304343), we get a palindrome (78473637487).

The spelling of 34340333144 in words is "thirty-four billion, three hundred forty million, three hundred thirty-three thousand, one hundred forty-four".