34542004014 has 160 divisors (see below), whose sum is σ = 91980134400. Its totient is φ = 9480732480.

The previous prime is 34542003967. The next prime is 34542004019. The reversal of 34542004014 is 41040024543.

It is a happy number.

34542004014 is a `hidden beast` number, since 3 + 4 + 54 + 200 + 401 + 4 = 666.

It is a super-2 number, since 2×34542004014² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34542004019) 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 79 ways as a sum of consecutive naturals, for example, 4882872 + ... + 4889940.

It is an arithmetic number, because the mean of its divisors is an integer number (574875840).

Almost surely, 2^34542004014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34542004014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45990067200).

34542004014 is an abundant number, since it is smaller than the sum of its proper divisors (57438130386).

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

34542004014 is a wasteful number, since it uses less digits than its factorization.

34542004014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7260 (or 7251 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 34542004014 its reverse (41040024543), we get a palindrome (75582028557).

The spelling of 34542004014 in words is "thirty-four billion, five hundred forty-two million, four thousand, fourteen".