34023535000 has 640 divisors, whose sum is σ = 105302292480. Its totient is φ = 10015488000.

The previous prime is 34023534959. The next prime is 34023535001. The reversal of 34023535000 is 53532043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34023535001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 723904977 + ... + 723905023.

It is an arithmetic number, because the mean of its divisors is an integer number (164534832).

Almost surely, 2^34023535000 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 34023535000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52651146240).

34023535000 is an abundant number, since it is smaller than the sum of its proper divisors (71278757480).

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

34023535000 is a wasteful number, since it uses less digits than its factorization.

34023535000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 25.

The spelling of 34023535000 in words is "thirty-four billion, twenty-three million, five hundred thirty-five thousand".