3287820 has 48 divisors (see below), whose sum is σ = 9461088. Its totient is φ = 852480.

The previous prime is 3287819. The next prime is 3287821. The reversal of 3287820 is 287823.

It is an interprime number because it is at equal distance from previous prime (3287819) and next prime (3287821).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3287821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1480 + ... + 2960.

It is an arithmetic number, because the mean of its divisors is an integer number (197106).

Almost surely, 2^3287820 is an apocalyptic number.

3287820 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 3287820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730544).

3287820 is an abundant number, since it is smaller than the sum of its proper divisors (6173268).

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

3287820 is a wasteful number, since it uses less digits than its factorization.

3287820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3287820 is about 1813.2346786889. The cubic root of 3287820 is about 148.6971612814.

The spelling of 3287820 in words is "three million, two hundred eighty-seven thousand, eight hundred twenty".