3281280 has 64 divisors (see below), whose sum is σ = 10465200. Its totient is φ = 874496.

The previous prime is 3281273. The next prime is 3281293. The reversal of 3281280 is 821823.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3281280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1066 + ... + 2774.

Almost surely, 2^3281280 is an apocalyptic number.

3281280 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 3281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232600).

3281280 is an abundant number, since it is smaller than the sum of its proper divisors (7183920).

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

3281280 is a wasteful number, since it uses less digits than its factorization.

3281280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 3281280 is about 1811.4303740415. The cubic root of 3281280 is about 148.5985016879.

The spelling of 3281280 in words is "three million, two hundred eighty-one thousand, two hundred eighty".