3283280 has 160 divisors (see below), whose sum is σ = 10499328. Its totient is φ = 921600.

The previous prime is 3283271. The next prime is 3283283. The reversal of 3283280 is 823823.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3283283) 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, 80060 + ... + 80100.

Almost surely, 2^3283280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3283280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249664).

3283280 is an abundant number, since it is smaller than the sum of its proper divisors (7216048).

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

3283280 is a wasteful number, since it uses less digits than its factorization.

3283280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 3283280 is about 1811.9823398698. The cubic root of 3283280 is about 148.6286867216.

The spelling of 3283280 in words is "three million, two hundred eighty-three thousand, two hundred eighty".