33868273200 has 240 divisors, whose sum is σ = 109743309312. Its totient is φ = 8928000000.

The previous prime is 33868273189. The next prime is 33868273207. The reversal of 33868273200 is 237286833.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×33868273200² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33868273207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56352900 + ... + 56353500.

Almost surely, 2^33868273200 is an apocalyptic number.

33868273200 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 33868273200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54871654656).

33868273200 is an abundant number, since it is smaller than the sum of its proper divisors (75875036112).

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

33868273200 is a wasteful number, since it uses less digits than its factorization.

33868273200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 33868273200 in words is "thirty-three billion, eight hundred sixty-eight million, two hundred seventy-three thousand, two hundred".