33868800 has 396 divisors, whose sum is σ = 144681960. Its totient is φ = 7741440.

The previous prime is 33868789. The next prime is 33868819. The reversal of 33868800 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 a super-2 number, since 2×33868800² = 2294191226880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4838397 + ... + 4838403.

Almost surely, 2^33868800 is an apocalyptic number.

33868800 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 33868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72340980).

33868800 is an abundant number, since it is smaller than the sum of its proper divisors (110813160).

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

33868800 is a wasteful number, since it uses less digits than its factorization.

33868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 17 counting only the distinct ones).

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

The square root of 33868800 is about 5819.6907134314. The cubic root of 33868800 is about 323.5439399731.

Multiplying 33868800 by its product of nonzero digits (27648), we get a square (936404582400 = 967680²).

33868800 divided by its product of nonzero digits (27648) gives a triangular number (1225 = T₄₉).

The spelling of 33868800 in words is "thirty-three million, eight hundred sixty-eight thousand, eight hundred".