3366336800 has 72 divisors (see below), whose sum is σ = 8261471232. Its totient is φ = 1339424000.

The previous prime is 3366336769. The next prime is 3366336823. The reversal of 3366336800 is 86336633.

It is a happy number.

It is a super-2 number, since 2×3366336800² = 22664446902068480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141785 + ... + 163815.

It is an arithmetic number, because the mean of its divisors is an integer number (114742656).

Almost surely, 2^3366336800 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 3366336800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4130735616).

3366336800 is an abundant number, since it is smaller than the sum of its proper divisors (4895134432).

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

3366336800 is a wasteful number, since it uses less digits than its factorization.

3366336800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22242 (or 22229 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 38.

The square root of 3366336800 is about 58020.1413304035. The cubic root of 3366336800 is about 1498.7154632539.

The spelling of 3366336800 in words is "three billion, three hundred sixty-six million, three hundred thirty-six thousand, eight hundred".