3882240 has 108 divisors (see below), whose sum is σ = 13472004. Its totient is φ = 1032192.

The previous prime is 3882233. The next prime is 3882311. The reversal of 3882240 is 422883.

It can be written as a sum of positive squares in 2 ways, for example, as 1218816 + 2663424 = 1104^2 + 1632^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11352 + ... + 11688.

Almost surely, 2^3882240 is an apocalyptic number.

3882240 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 3882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736002).

3882240 is an abundant number, since it is smaller than the sum of its proper divisors (9589764).

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

3882240 is a wasteful number, since it uses less digits than its factorization.

3882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 347 counting only the distinct ones).

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

The square root of 3882240 is about 1970.3400721703. The cubic root of 3882240 is about 157.1667936776.

It can be divided in two parts, 388 and 2240, that added together give a triangular number (2628 = T₇₂).

The spelling of 3882240 in words is "three million, eight hundred eighty-two thousand, two hundred forty".