33438806000 has 40 divisors (see below), whose sum is σ = 80855037744. Its totient is φ = 13375521600.

The previous prime is 33438805943. The next prime is 33438806003. The reversal of 33438806000 is 60883433.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33438806000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33438806003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8357702 + ... + 8361701.

Almost surely, 2^33438806000 is an apocalyptic number.

It is an amenable number.

33438806000 is an abundant number, since it is smaller than the sum of its proper divisors (47416231744).

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

33438806000 is a wasteful number, since it uses less digits than its factorization.

33438806000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16719426 (or 16719410 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 33438806000 in words is "thirty-three billion, four hundred thirty-eight million, eight hundred six thousand".