3223680 has 128 divisors (see below), whose sum is σ = 10869120. Its totient is φ = 811008.

The previous prime is 3223663. The next prime is 3223687. The reversal of 3223680 is 863223.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3223680² = 20784225484800, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 3¹³ + 2 + 2¹¹ + 3¹³ + 6³ + 8⁵ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 3223680.

It is not an unprimeable number, because it can be changed into a prime (3223687) 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, 44124 + ... + 44196.

It is an arithmetic number, because the mean of its divisors is an integer number (84915).

Almost surely, 2^3223680 is an apocalyptic number.

3223680 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 3223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434560).

3223680 is an abundant number, since it is smaller than the sum of its proper divisors (7645440).

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

3223680 is a wasteful number, since it uses less digits than its factorization.

3223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3223680 is about 1795.4609436019. The cubic root of 3223680 is about 147.7238581101.

The spelling of 3223680 in words is "three million, two hundred twenty-three thousand, six hundred eighty".