12034340640 has 384 divisors, whose sum is σ = 48445931520. Its totient is φ = 2733087744.

The previous prime is 12034340639. The next prime is 12034340651. The reversal of 12034340640 is 4604343021.

12034340640 is a `hidden beast` number, since 12 + 0 + 3 + 4 + 3 + 4 + 0 + 640 = 666.

12034340640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5048889 + ... + 5051271.

It is an arithmetic number, because the mean of its divisors is an integer number (126161280).

Almost surely, 2^12034340640 is an apocalyptic number.

12034340640 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 12034340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24222965760).

12034340640 is an abundant number, since it is smaller than the sum of its proper divisors (36411590880).

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

12034340640 is a wasteful number, since it uses less digits than its factorization.

12034340640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12034340640 its reverse (4604343021), we get a palindrome (16638683661).

The spelling of 12034340640 in words is "twelve billion, thirty-four million, three hundred forty thousand, six hundred forty".