34023144344 has 64 divisors (see below), whose sum is σ = 77394657600. Its totient is φ = 13688193024.

The previous prime is 34023144271. The next prime is 34023144347. The reversal of 34023144344 is 44344132043.

It is a self number, because there is not a number n which added to its sum of digits gives 34023144344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34023144347) 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, 324392 + ... + 416264.

It is an arithmetic number, because the mean of its divisors is an integer number (1209291525).

Almost surely, 2^34023144344 is an apocalyptic number.

34023144344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34023144344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38697328800).

34023144344 is an abundant number, since it is smaller than the sum of its proper divisors (43371513256).

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

34023144344 is a wasteful number, since it uses less digits than its factorization.

34023144344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92292 (or 92288 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 34023144344 its reverse (44344132043), we get a palindrome (78367276387).

The spelling of 34023144344 in words is "thirty-four billion, twenty-three million, one hundred forty-four thousand, three hundred forty-four".