33984000000 has 546 divisors, whose sum is σ = 124783168380. Its totient is φ = 8908800000.

The previous prime is 33983999999. The next prime is 33984000007. The reversal of 33984000000 is 48933.

It is not an unprimeable number, because it can be changed into a prime (33984000007) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 575999971 + ... + 576000029.

Almost surely, 2^33984000000 is an apocalyptic number.

33984000000 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 33984000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62391584190).

33984000000 is an abundant number, since it is smaller than the sum of its proper divisors (90799168380).

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

33984000000 is an frugal number, since it uses more digits than its factorization.

33984000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 33984000000 its reverse (48933), we get a palindrome (33984048933).

The spelling of 33984000000 in words is "thirty-three billion, nine hundred eighty-four million", and thus it is an aban number.