34431102120 has 128 divisors (see below), whose sum is σ = 108205943040. Its totient is φ = 8748072960.

The previous prime is 34431102113. The next prime is 34431102151. The reversal of 34431102120 is 2120113443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685050 + ... + 733590.

It is an arithmetic number, because the mean of its divisors is an integer number (845358930).

Almost surely, 2^34431102120 is an apocalyptic number.

34431102120 is a gapful number since it is divisible by the number (30) 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 34431102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54102971520).

34431102120 is an abundant number, since it is smaller than the sum of its proper divisors (73774840920).

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

34431102120 is a wasteful number, since it uses less digits than its factorization.

34431102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48835 (or 48831 counting only the distinct ones).

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

Adding to 34431102120 its reverse (2120113443), we get a palindrome (36551215563).

The spelling of 34431102120 in words is "thirty-four billion, four hundred thirty-one million, one hundred two thousand, one hundred twenty".