34342131120 has 160 divisors (see below), whose sum is σ = 122970700800. Its totient is φ = 7835627520.

The previous prime is 34342131113. The next prime is 34342131139. The reversal of 34342131120 is 2113124343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337720 + ... + 427479.

It is an arithmetic number, because the mean of its divisors is an integer number (768566880).

Almost surely, 2^34342131120 is an apocalyptic number.

34342131120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34342131120 is an abundant number, since it is smaller than the sum of its proper divisors (88628569680).

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

34342131120 is a wasteful number, since it uses less digits than its factorization.

34342131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765243 (or 765237 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34342131120 its reverse (2113124343), we get a palindrome (36455255463).

The spelling of 34342131120 in words is "thirty-four billion, three hundred forty-two million, one hundred thirty-one thousand, one hundred twenty".