3873280 has 80 divisors (see below), whose sum is σ = 9943560. Its totient is φ = 1441792.

The previous prime is 3873257. The next prime is 3873281. The reversal of 3873280 is 823783.

It can be written as a sum of positive squares in 4 ways, for example, as 3041536 + 831744 = 1744^2 + 912^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3873281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43476 + ... + 43564.

Almost surely, 2^3873280 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 3873280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4971780).

3873280 is an abundant number, since it is smaller than the sum of its proper divisors (6070280).

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

3873280 is an equidigital number, since it uses as much as digits as its factorization.

3873280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 3873280 is about 1968.0650395757. The cubic root of 3873280 is about 157.0457897191.

The spelling of 3873280 in words is "three million, eight hundred seventy-three thousand, two hundred eighty".