3286000 has 80 divisors (see below), whose sum is σ = 8356608. Its totient is φ = 1248000.

The previous prime is 3285991. The next prime is 3286013. The reversal of 3286000 is 6823.

3286000 = 9⁵ + 10⁵ + ... + 16⁵.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61974 + ... + 62026.

Almost surely, 2^3286000 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 3286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178304).

3286000 is an abundant number, since it is smaller than the sum of its proper divisors (5070608).

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

3286000 is a wasteful number, since it uses less digits than its factorization.

3286000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 3286000 is about 1812.7327436773. The cubic root of 3286000 is about 148.6697187019.

It can be divided in two parts, 328 and 6000, that added together give a triangular number (6328 = T₁₁₂).

The spelling of 3286000 in words is "three million, two hundred eighty-six thousand".