12034935360 has 336 divisors, whose sum is σ = 47538656256. Its totient is φ = 2737483776.

The previous prime is 12034935349. The next prime is 12034935361. The reversal of 12034935360 is 6353943021.

It is a happy number.

12034935360 is a `hidden beast` number, since 1 + 2 + 0 + 34 + 93 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12034935361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4494342 + ... + 4497018.

It is an arithmetic number, because the mean of its divisors is an integer number (141484096).

Almost surely, 2^12034935360 is an apocalyptic number.

12034935360 is a gapful number since it is divisible by the number (10) 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 12034935360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23769328128).

12034935360 is an abundant number, since it is smaller than the sum of its proper divisors (35503720896).

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

12034935360 is a wasteful number, since it uses less digits than its factorization.

12034935360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 12034935360 in words is "twelve billion, thirty-four million, nine hundred thirty-five thousand, three hundred sixty".