34430344410 has 192 divisors, whose sum is σ = 110382497280. Its totient is φ = 6777751680.

The previous prime is 34430344397. The next prime is 34430344411. The reversal of 34430344410 is 1444303443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (34430344411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251197 + ... + 363263.

It is an arithmetic number, because the mean of its divisors is an integer number (574908840).

Almost surely, 2^34430344410 is an apocalyptic number.

34430344410 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 34430344410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55191248640).

34430344410 is an abundant number, since it is smaller than the sum of its proper divisors (75952152870).

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

34430344410 is a wasteful number, since it uses less digits than its factorization.

34430344410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112121 (or 112114 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 34430344410 its reverse (1444303443), we get a palindrome (35874647853).

The spelling of 34430344410 in words is "thirty-four billion, four hundred thirty million, three hundred forty-four thousand, four hundred ten".