33868800000 has 1008 divisors, whose sum is σ = 145901755440. Its totient is φ = 7741440000.

The previous prime is 33868799989. The next prime is 33868800011. The reversal of 33868800000 is 886833.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (33868799989) and next prime (33868800011).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×33868800000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4838399997 + ... + 4838400003.

It is an arithmetic number, because the mean of its divisors is an integer number (144743805).

Almost surely, 2^33868800000 is an apocalyptic number.

33868800000 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 33868800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72950877720).

33868800000 is an abundant number, since it is smaller than the sum of its proper divisors (112032955440).

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

33868800000 is an frugal number, since it uses more digits than its factorization.

33868800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 33868800000 in words is "thirty-three billion, eight hundred sixty-eight million, eight hundred thousand".