34331110044 has 192 divisors, whose sum is σ = 103199416320. Its totient is φ = 8624206080.

The previous prime is 34331109977. The next prime is 34331110061. The reversal of 34331110044 is 44001113343.

It is a junction number, because it is equal to n+sod(n) for n = 34331109996 and 34331110023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4088202 + ... + 4096590.

It is an arithmetic number, because the mean of its divisors is an integer number (537496960).

Almost surely, 2^34331110044 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 34331110044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51599708160).

34331110044 is an abundant number, since it is smaller than the sum of its proper divisors (68868306276).

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

34331110044 is a wasteful number, since it uses less digits than its factorization.

34331110044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8560 (or 8558 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34331110044 its reverse (44001113343), we get a palindrome (78332223387).

The spelling of 34331110044 in words is "thirty-four billion, three hundred thirty-one million, one hundred ten thousand, forty-four".