34331410120 has 64 divisors (see below), whose sum is σ = 88426644480. Its totient is φ = 11751319296.

The previous prime is 34331410063. The next prime is 34331410153. The reversal of 34331410120 is 2101413343.

It is a junction number, because it is equal to n+sod(n) for n = 34331410091 and 34331410100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68962 + ... + 270958.

It is an arithmetic number, because the mean of its divisors is an integer number (1381666320).

Almost surely, 2^34331410120 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 34331410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44213322240).

34331410120 is an abundant number, since it is smaller than the sum of its proper divisors (54095234360).

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

34331410120 is a wasteful number, since it uses less digits than its factorization.

34331410120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202622 (or 202618 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 34331410120 its reverse (2101413343), we get a palindrome (36432823463).

The spelling of 34331410120 in words is "thirty-four billion, three hundred thirty-one million, four hundred ten thousand, one hundred twenty".