10344410034 has 64 divisors (see below), whose sum is σ = 24829894656. Its totient is φ = 2808995904.

The previous prime is 10344410017. The next prime is 10344410059. The reversal of 10344410034 is 43001444301.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10344409986 and 10344410013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117559 + ... + 185765.

It is an arithmetic number, because the mean of its divisors is an integer number (387967104).

Almost surely, 2^10344410034 is an apocalyptic number.

10344410034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10344410034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12414947328).

10344410034 is an abundant number, since it is smaller than the sum of its proper divisors (14485484622).

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

10344410034 is a wasteful number, since it uses less digits than its factorization.

10344410034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68399.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10344410034 its reverse (43001444301), we get a palindrome (53345854335).

The spelling of 10344410034 in words is "ten billion, three hundred forty-four million, four hundred ten thousand, thirty-four".