3218880 has 112 divisors (see below), whose sum is σ = 11704320. Its totient is φ = 734208.

The previous prime is 3218861. The next prime is 3218893. The reversal of 3218880 is 888123.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3218880² = 20722376908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6481 + ... + 6959.

Almost surely, 2^3218880 is an apocalyptic number.

3218880 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 3218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852160).

3218880 is an abundant number, since it is smaller than the sum of its proper divisors (8485440).

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

3218880 is a wasteful number, since it uses less digits than its factorization.

3218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 3218880 is about 1794.1237415518. The cubic root of 3218880 is about 147.6505023238.

The spelling of 3218880 in words is "three million, two hundred eighteen thousand, eight hundred eighty".