34433575512 has 256 divisors, whose sum is σ = 108384998400. Its totient is φ = 8895744000.

The previous prime is 34433575441. The next prime is 34433575529. The reversal of 34433575512 is 21557533443.

It is a happy number.

It is a super-2 number, since 2×34433575512² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6256762 + ... + 6262262.

It is an arithmetic number, because the mean of its divisors is an integer number (423378900).

Almost surely, 2^34433575512 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 34433575512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54192499200).

34433575512 is an abundant number, since it is smaller than the sum of its proper divisors (73951422888).

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

34433575512 is a wasteful number, since it uses less digits than its factorization.

34433575512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5626 (or 5622 counting only the distinct ones).

The product of its digits is 756000, while the sum is 42.

The spelling of 34433575512 in words is "thirty-four billion, four hundred thirty-three million, five hundred seventy-five thousand, five hundred twelve".