3842280 has 96 divisors (see below), whose sum is σ = 13464360. Its totient is φ = 944640.

The previous prime is 3842269. The next prime is 3842281. The reversal of 3842280 is 822483.

3842280 is a `hidden beast` number, since 384 + 2 + 280 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1954404 + 1887876 = 1398^2 + 1374^2 .

It is not an unprimeable number, because it can be changed into a prime (3842281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4270 + ... + 5090.

Almost surely, 2^3842280 is an apocalyptic number.

3842280 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 3842280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732180).

3842280 is an abundant number, since it is smaller than the sum of its proper divisors (9622080).

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

3842280 is a wasteful number, since it uses less digits than its factorization.

3842280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 844 counting only the distinct ones).

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

The square root of 3842280 is about 1960.1734617120. The cubic root of 3842280 is about 156.6256922170.

The spelling of 3842280 in words is "three million, eight hundred forty-two thousand, two hundred eighty".