3268200 has 96 divisors (see below), whose sum is σ = 10936800. Its totient is φ = 802560.

The previous prime is 3268183. The next prime is 3268207. The reversal of 3268200 is 28623.

It is a super-2 number, since 2×3268200² = 21362262480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3268207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7591 + ... + 8009.

It is an arithmetic number, because the mean of its divisors is an integer number (113925).

Almost surely, 2^3268200 is an apocalyptic number.

3268200 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 3268200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468400).

3268200 is an abundant number, since it is smaller than the sum of its proper divisors (7668600).

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

3268200 is a wasteful number, since it uses less digits than its factorization.

3268200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3268200 is about 1807.8163623554. The cubic root of 3268200 is about 148.4007885205.

The spelling of 3268200 in words is "three million, two hundred sixty-eight thousand, two hundred".