3238200 has 144 divisors (see below), whose sum is σ = 12476880. Its totient is φ = 737280.

The previous prime is 3238199. The next prime is 3238219. The reversal of 3238200 is 28323.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 12472 + ... + 12728.

It is an arithmetic number, because the mean of its divisors is an integer number (86645).

Almost surely, 2^3238200 is an apocalyptic number.

3238200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 1799×1800.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3238200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6238440).

3238200 is an abundant number, since it is smaller than the sum of its proper divisors (9238680).

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

3238200 is a wasteful number, since it uses less digits than its factorization.

3238200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3238200 is about 1799.4999305363. The cubic root of 3238200 is about 147.9453170274.

The spelling of 3238200 in words is "three million, two hundred thirty-eight thousand, two hundred".