3286500 has 96 divisors (see below), whose sum is σ = 10972416. Its totient is φ = 748800.

The previous prime is 3286471. The next prime is 3286501. The reversal of 3286500 is 56823.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3286501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10344 + ... + 10656.

It is an arithmetic number, because the mean of its divisors is an integer number (114296).

Almost surely, 2^3286500 is an apocalyptic number.

3286500 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 3286500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486208).

3286500 is an abundant number, since it is smaller than the sum of its proper divisors (7685916).

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

3286500 is a wasteful number, since it uses less digits than its factorization.

3286500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3286500 is about 1812.8706517565. The cubic root of 3286500 is about 148.6772588814.

The spelling of 3286500 in words is "three million, two hundred eighty-six thousand, five hundred".