34014043120 has 80 divisors (see below), whose sum is σ = 82569715200. Its totient is φ = 13006391552.

The previous prime is 34014043117. The next prime is 34014043121. The reversal of 34014043120 is 2134041043.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 34014043091 and 34014043100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34014043121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3857757 + ... + 3866563.

It is an arithmetic number, because the mean of its divisors is an integer number (1032121440).

Almost surely, 2^34014043120 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 34014043120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41284857600).

34014043120 is an abundant number, since it is smaller than the sum of its proper divisors (48555672080).

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

34014043120 is a wasteful number, since it uses less digits than its factorization.

34014043120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10942 (or 10936 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 34014043120 its reverse (2134041043), we get a palindrome (36148084163).

The spelling of 34014043120 in words is "thirty-four billion, fourteen million, forty-three thousand, one hundred twenty".