33994211328 has 512 divisors, whose sum is σ = 125827200000. Its totient is φ = 8811970560.

The previous prime is 33994211327. The next prime is 33994211341. The reversal of 33994211328 is 82311249933.

33994211328 is a `hidden beast` number, since 3 + 3 + 99 + 421 + 132 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (33994211327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68124423 + ... + 68124921.

It is an arithmetic number, because the mean of its divisors is an integer number (245756250).

Almost surely, 2^33994211328 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 33994211328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62913600000).

33994211328 is an abundant number, since it is smaller than the sum of its proper divisors (91832988672).

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

33994211328 is an equidigital number, since it uses as much as digits as its factorization.

33994211328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 522 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 33994211328 in words is "thirty-three billion, nine hundred ninety-four million, two hundred eleven thousand, three hundred twenty-eight".