34012120320 has 720 divisors, whose sum is σ = 134623399680. Its totient is φ = 8155496448.

The previous prime is 34012120279. The next prime is 34012120369. The reversal of 34012120320 is 2302121043.

34012120320 is a `hidden beast` number, since 340 + 1 + 2 + 1 + 2 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34012120293 and 34012120302.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 40538461 + ... + 40539299.

It is an arithmetic number, because the mean of its divisors is an integer number (186976944).

Almost surely, 2^34012120320 is an apocalyptic number.

34012120320 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 34012120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67311699840).

34012120320 is an abundant number, since it is smaller than the sum of its proper divisors (100611279360).

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

34012120320 is a wasteful number, since it uses less digits than its factorization.

34012120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 34012120320 its reverse (2302121043), we get a palindrome (36314241363).

The spelling of 34012120320 in words is "thirty-four billion, twelve million, one hundred twenty thousand, three hundred twenty".