33738826128 has 120 divisors (see below), whose sum is σ = 101474710560. Its totient is φ = 9631480320.

The previous prime is 33738826097. The next prime is 33738826153. The reversal of 33738826128 is 82162883733.

It is a happy number.

It is a super-2 number, since 2×33738826128² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3101563 + ... + 3112421.

It is an arithmetic number, because the mean of its divisors is an integer number (845622588).

Almost surely, 2^33738826128 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 33738826128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50737355280).

33738826128 is an abundant number, since it is smaller than the sum of its proper divisors (67735884432).

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

33738826128 is a wasteful number, since it uses less digits than its factorization.

33738826128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12205 (or 12192 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The spelling of 33738826128 in words is "thirty-three billion, seven hundred thirty-eight million, eight hundred twenty-six thousand, one hundred twenty-eight".