34015105044 has 72 divisors (see below), whose sum is σ = 91263692520. Its totient is φ = 10645235712.

The previous prime is 34015105013. The next prime is 34015105049. The reversal of 34015105044 is 44050151043.

It is a happy number.

34015105044 is a `hidden beast` number, since 3 + 4 + 0 + 151 + 0 + 504 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9218304144 + 24796800900 = 96012^2 + 157470^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34015104999 and 34015105017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34015105049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182362 + ... + 318254.

It is an arithmetic number, because the mean of its divisors is an integer number (1267551285).

Almost surely, 2^34015105044 is an apocalyptic number.

34015105044 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 34015105044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45631846260).

34015105044 is an abundant number, since it is smaller than the sum of its proper divisors (57248587476).

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

34015105044 is a wasteful number, since it uses less digits than its factorization.

34015105044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136329 (or 136324 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 34015105044 its reverse (44050151043), we get a palindrome (78065256087).

The spelling of 34015105044 in words is "thirty-four billion, fifteen million, one hundred five thousand, forty-four".