3845440 has 56 divisors (see below), whose sum is σ = 9354312. Its totient is φ = 1505280.

The previous prime is 3845407. The next prime is 3845441. The reversal of 3845440 is 445483.

3845440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 430336 + 3415104 = 656^2 + 1848^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3845399 and 3845408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3845441) 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, 19422 + ... + 19618.

Almost surely, 2^3845440 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 3845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677156).

3845440 is an abundant number, since it is smaller than the sum of its proper divisors (5508872).

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

3845440 is a wasteful number, since it uses less digits than its factorization.

3845440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 3845440 is about 1960.9793471630. The cubic root of 3845440 is about 156.6686182544.

The spelling of 3845440 in words is "three million, eight hundred forty-five thousand, four hundred forty".