3268800 has 126 divisors (see below), whose sum is σ = 11669268. Its totient is φ = 867840.

The previous prime is 3268799. The next prime is 3268813. The reversal of 3268800 is 88623.

It is a zygodrome in base 2 and base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14287 + ... + 14513.

Almost surely, 2^3268800 is an apocalyptic number.

3268800 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 3268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5834634).

3268800 is an abundant number, since it is smaller than the sum of its proper divisors (8400468).

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

3268800 is a wasteful number, since it uses less digits than its factorization.

3268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3268800 is about 1807.9823007983. The cubic root of 3268800 is about 148.4098694647.

The spelling of 3268800 in words is "three million, two hundred sixty-eight thousand, eight hundred".