34110553120 has 96 divisors (see below), whose sum is σ = 92301406848. Its totient is φ = 11669280768.

The previous prime is 34110553093. The next prime is 34110553129. The reversal of 34110553120 is 2135501143.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34110553129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478519 + ... + 545161.

It is an arithmetic number, because the mean of its divisors is an integer number (961472988).

Almost surely, 2^34110553120 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 34110553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46150703424).

34110553120 is an abundant number, since it is smaller than the sum of its proper divisors (58190853728).

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

34110553120 is a wasteful number, since it uses less digits than its factorization.

34110553120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67122 (or 67114 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 34110553120 in words is "thirty-four billion, one hundred ten million, five hundred fifty-three thousand, one hundred twenty".