3882320 has 40 divisors (see below), whose sum is σ = 9723336. Its totient is φ = 1433088.

The previous prime is 3882313. The next prime is 3882343. The reversal of 3882320 is 232883.

It can be written as a sum of positive squares in 4 ways, for example, as 87616 + 3794704 = 296^2 + 1948^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3882320.

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, 827 + ... + 2906.

Almost surely, 2^3882320 is an apocalyptic number.

It is an amenable number.

3882320 is an abundant number, since it is smaller than the sum of its proper divisors (5841016).

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

3882320 is a wasteful number, since it uses less digits than its factorization.

3882320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3759 (or 3753 counting only the distinct ones).

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

The square root of 3882320 is about 1970.3603731297. The cubic root of 3882320 is about 157.1678732311.

The spelling of 3882320 in words is "three million, eight hundred eighty-two thousand, three hundred twenty".