3287520 has 96 divisors (see below), whose sum is σ = 11521440. Its totient is φ = 875520.

The previous prime is 3287507. The next prime is 3287521. The reversal of 3287520 is 257823.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3287521) 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, 3940 + ... + 4700.

It is an arithmetic number, because the mean of its divisors is an integer number (120015).

Almost surely, 2^3287520 is an apocalyptic number.

3287520 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 3287520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760720).

3287520 is an abundant number, since it is smaller than the sum of its proper divisors (8233920).

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

3287520 is a wasteful number, since it uses less digits than its factorization.

3287520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3287520 is about 1813.1519517128. The cubic root of 3287520 is about 148.6926384765.

The spelling of 3287520 in words is "three million, two hundred eighty-seven thousand, five hundred twenty".