33638400000 has 540 divisors, whose sum is σ = 123124361724. Its totient is φ = 8847360000.

The previous prime is 33638399981. The next prime is 33638400001. The reversal of 33638400000 is 483633.

It can be written as a sum of positive squares in 6 ways, for example, as 26885505024 + 6752894976 = 163968^2 + 82176^2 .

It is a super-2 number, since 2×33638400000² (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 (33638400001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 460799964 + ... + 460800036.

Almost surely, 2^33638400000 is an apocalyptic number.

33638400000 is a gapful number since it is divisible by the number (30) 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 33638400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61562180862).

33638400000 is an abundant number, since it is smaller than the sum of its proper divisors (89485961724).

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

33638400000 is an frugal number, since it uses more digits than its factorization.

33638400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 33638400000 its reverse (483633), we get a palindrome (33638883633).

The spelling of 33638400000 in words is "thirty-three billion, six hundred thirty-eight million, four hundred thousand".