34410010000 has 100 divisors (see below), whose sum is σ = 84453100732. Its totient is φ = 13575168000.

The previous prime is 34410009971. The next prime is 34410010003. The reversal of 34410010000 is 1001443.

It can be written as a sum of positive squares in 10 ways, for example, as 33546120336 + 863889664 = 183156^2 + 29392^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34410010003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 706432 + ... + 753568.

Almost surely, 2^34410010000 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 34410010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42226550366).

34410010000 is an abundant number, since it is smaller than the sum of its proper divisors (50043090732).

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

34410010000 is an equidigital number, since it uses as much as digits as its factorization.

34410010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47238 (or 47217 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 34410010000 its reverse (1001443), we get a palindrome (34411011443).

The spelling of 34410010000 in words is "thirty-four billion, four hundred ten million, ten thousand".