34233382512 has 200 divisors, whose sum is σ = 115094003552. Its totient is φ = 9620467200.

The previous prime is 34233382489. The next prime is 34233382517. The reversal of 34233382512 is 21528333243.

34233382512 is a `hidden beast` number, since 34 + 2 + 3 + 33 + 82 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34233382517) 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 39 ways as a sum of consecutive naturals, for example, 522462 + ... + 584322.

Almost surely, 2^34233382512 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 34233382512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57547001776).

34233382512 is an abundant number, since it is smaller than the sum of its proper divisors (80860621040).

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

34233382512 is a wasteful number, since it uses less digits than its factorization.

34233382512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61949 (or 61934 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The spelling of 34233382512 in words is "thirty-four billion, two hundred thirty-three million, three hundred eighty-two thousand, five hundred twelve".