3366800 has 60 divisors (see below), whose sum is σ = 8533680. Its totient is φ = 1272960.

The previous prime is 3366767. The next prime is 3366821. The reversal of 3366800 is 86633.

It is a super-2 number, since 2×3366800² = 22670684480000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3366800.

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, 7379 + ... + 7821.

It is an arithmetic number, because the mean of its divisors is an integer number (142228).

Almost surely, 2^3366800 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 3366800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266840).

3366800 is an abundant number, since it is smaller than the sum of its proper divisors (5166880).

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

3366800 is a wasteful number, since it uses less digits than its factorization.

3366800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 3366800 is about 1834.8841925310. The cubic root of 3366800 is about 149.8784200005.

The spelling of 3366800 in words is "three million, three hundred sixty-six thousand, eight hundred".