33422088672 has 384 divisors, whose sum is σ = 118705305600. Its totient is φ = 8930746368.

The previous prime is 33422088649. The next prime is 33422088701. The reversal of 33422088672 is 27688022433.

It is a super-3 number, since 3×33422088672³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17786229 + ... + 17788107.

It is an arithmetic number, because the mean of its divisors is an integer number (309128400).

Almost surely, 2^33422088672 is an apocalyptic number.

33422088672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33422088672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59352652800).

33422088672 is an abundant number, since it is smaller than the sum of its proper divisors (85283216928).

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

33422088672 is a wasteful number, since it uses less digits than its factorization.

33422088672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 33422088672 in words is "thirty-three billion, four hundred twenty-two million, eighty-eight thousand, six hundred seventy-two".