34404110130 has 64 divisors (see below), whose sum is σ = 89104474368. Its totient is φ = 8451267840.

The previous prime is 34404110123. The next prime is 34404110131. The reversal of 34404110130 is 3101140443.

It is a junction number, because it is equal to n+sod(n) for n = 34404110097 and 34404110106.

It is not an unprimeable number, because it can be changed into a prime (34404110131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99360 + ... + 280500.

It is an arithmetic number, because the mean of its divisors is an integer number (1392257412).

Almost surely, 2^34404110130 is an apocalyptic number.

34404110130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34404110130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44552237184).

34404110130 is an abundant number, since it is smaller than the sum of its proper divisors (54700364238).

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

34404110130 is a wasteful number, since it uses less digits than its factorization.

34404110130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181651.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 34404110130 its reverse (3101140443), we get a palindrome (37505250573).

The spelling of 34404110130 in words is "thirty-four billion, four hundred four million, one hundred ten thousand, one hundred thirty".