3280200 has 192 divisors, whose sum is σ = 12856320. Its totient is φ = 672000.

The previous prime is 3280187. The next prime is 3280213. The reversal of 3280200 is 20823.

It is an interprime number because it is at equal distance from previous prime (3280187) and next prime (3280213).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3280200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46165 + ... + 46235.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

Almost surely, 2^3280200 is an apocalyptic number.

3280200 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 3280200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428160).

3280200 is an abundant number, since it is smaller than the sum of its proper divisors (9576120).

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

3280200 is a wasteful number, since it uses less digits than its factorization.

3280200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3280200 is about 1811.1322425488. The cubic root of 3280200 is about 148.5821966695.

The spelling of 3280200 in words is "three million, two hundred eighty thousand, two hundred".