33434366688 has 144 divisors (see below), whose sum is σ = 97527882816. Its totient is φ = 10859827200.

The previous prime is 33434366687. The next prime is 33434366699. The reversal of 33434366688 is 88666343433.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33434366688² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33434366687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3148588 + ... + 3159188.

It is an arithmetic number, because the mean of its divisors is an integer number (677276964).

Almost surely, 2^33434366688 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 33434366688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48763941408).

33434366688 is an abundant number, since it is smaller than the sum of its proper divisors (64093516128).

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

33434366688 is a wasteful number, since it uses less digits than its factorization.

33434366688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10897 (or 10886 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 54.

The spelling of 33434366688 in words is "thirty-three billion, four hundred thirty-four million, three hundred sixty-six thousand, six hundred eighty-eight".