3287880 has 48 divisors (see below), whose sum is σ = 10686780. Its totient is φ = 876672.

The previous prime is 3287861. The next prime is 3287881. The reversal of 3287880 is 887823.

It can be written as a sum of positive squares in 2 ways, for example, as 3261636 + 26244 = 1806^2 + 162^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3287881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4207 + ... + 4926.

Almost surely, 2^3287880 is an apocalyptic number.

3287880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3287880 is an abundant number, since it is smaller than the sum of its proper divisors (7398900).

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

3287880 is a wasteful number, since it uses less digits than its factorization.

3287880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9150 (or 9143 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3287880 is about 1813.2512236312. The cubic root of 3287880 is about 148.6980658094.

The spelling of 3287880 in words is "three million, two hundred eighty-seven thousand, eight hundred eighty".