34204123044 has 336 divisors, whose sum is σ = 111857864832. Its totient is φ = 8906443776.

The previous prime is 34204123043. The next prime is 34204123049. The reversal of 34204123044 is 44032140243.

It is a happy number.

34204123044 is a `hidden beast` number, since 3 + 420 + 4 + 1 + 230 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34204122999 and 34204123017.

It is not an unprimeable number, because it can be changed into a prime (34204123043) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 22023772 + ... + 22025324.

It is an arithmetic number, because the mean of its divisors is an integer number (332910312).

Almost surely, 2^34204123044 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 34204123044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55928932416).

34204123044 is an abundant number, since it is smaller than the sum of its proper divisors (77653741788).

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

34204123044 is a wasteful number, since it uses less digits than its factorization.

34204123044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34204123044 its reverse (44032140243), we get a palindrome (78236263287).

It can be divided in two parts, 342041 and 23044, that added together give a triangular number (365085 = T₈₅₄).

The spelling of 34204123044 in words is "thirty-four billion, two hundred four million, one hundred twenty-three thousand, forty-four".