34052143104 has 432 divisors, whose sum is σ = 117613150200. Its totient is φ = 9456943104.

The previous prime is 34052142973. The next prime is 34052143109. The reversal of 34052143104 is 40134125043.

It is a happy number.

34052143104 is a `hidden beast` number, since 34 + 0 + 521 + 4 + 3 + 104 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34052143109) 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 35 ways as a sum of consecutive naturals, for example, 33416707 + ... + 33417725.

Almost surely, 2^34052143104 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 34052143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58806575100).

34052143104 is an abundant number, since it is smaller than the sum of its proper divisors (83561007096).

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

34052143104 is a wasteful number, since it uses less digits than its factorization.

34052143104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34052143104 its reverse (40134125043), we get a palindrome (74186268147).

The spelling of 34052143104 in words is "thirty-four billion, fifty-two million, one hundred forty-three thousand, one hundred four".