3880224 has 72 divisors (see below), whose sum is σ = 11466000. Its totient is φ = 1290816.

The previous prime is 3880223. The next prime is 3880241. The reversal of 3880224 is 4220883.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3880224² = 30112276580352, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3880223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7527 + ... + 8025.

It is an arithmetic number, because the mean of its divisors is an integer number (159250).

Almost surely, 2^3880224 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 3880224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733000).

3880224 is an abundant number, since it is smaller than the sum of its proper divisors (7585776).

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

3880224 is an equidigital number, since it uses as much as digits as its factorization.

3880224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3880224 is about 1969.8284189238. The cubic root of 3880224 is about 157.1395840326.

The spelling of 3880224 in words is "three million, eight hundred eighty thousand, two hundred twenty-four".