3285360 has 180 divisors, whose sum is σ = 12389832. Its totient is φ = 808704.

The previous prime is 3285353. The next prime is 3285367. The reversal of 3285360 is 635823.

It is an interprime number because it is at equal distance from previous prime (3285353) and next prime (3285367).

It is a tau number, because it is divible by the number of its divisors (180).

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 (3285367) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 252714 + ... + 252726.

Almost surely, 2^3285360 is an apocalyptic number.

3285360 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 3285360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6194916).

3285360 is an abundant number, since it is smaller than the sum of its proper divisors (9104472).

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

3285360 is a wasteful number, since it uses less digits than its factorization.

3285360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3285360 is about 1812.5562060251. The cubic root of 3285360 is about 148.6600661560.

The spelling of 3285360 in words is "three million, two hundred eighty-five thousand, three hundred sixty".