10000034444232 has 384 divisors, whose sum is σ = 32783013120000. Its totient is φ = 2690072985600.

The previous prime is 10000034444219. The next prime is 10000034444261. The reversal of 10000034444232 is 23244443000001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10000034444196 and 10000034444205.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2002808328 + ... + 2002813320.

It is an arithmetic number, because the mean of its divisors is an integer number (85372430000).

Almost surely, 2^{10000034444232} is an apocalyptic number.

10000034444232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000034444232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16391506560000).

10000034444232 is an abundant number, since it is smaller than the sum of its proper divisors (22782978675768).

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

10000034444232 is a wasteful number, since it uses less digits than its factorization.

10000034444232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6281 (or 6274 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10000034444232 its reverse (23244443000001), we get a palindrome (33244477444233).

The spelling of 10000034444232 in words is "ten trillion, thirty-four million, four hundred forty-four thousand, two hundred thirty-two".