3813440 has 56 divisors (see below), whose sum is σ = 9628632. Its totient is φ = 1433600.

The previous prime is 3813427. The next prime is 3813461. The reversal of 3813440 is 443183.

3813440 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 1478656 + 2334784 = 1216^2 + 1528^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5090 + ... + 5790.

Almost surely, 2^3813440 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 3813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814316).

3813440 is an abundant number, since it is smaller than the sum of its proper divisors (5815192).

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

3813440 is a wasteful number, since it uses less digits than its factorization.

3813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3813440 is about 1952.8031134756. The cubic root of 3813440 is about 156.2328322471.

The spelling of 3813440 in words is "three million, eight hundred thirteen thousand, four hundred forty".