3813240 has 64 divisors (see below), whose sum is σ = 11721600. Its totient is φ = 991872.

The previous prime is 3813233. The next prime is 3813289. The reversal of 3813240 is 423183.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4791 + ... + 5529.

It is an arithmetic number, because the mean of its divisors is an integer number (183150).

Almost surely, 2^3813240 is an apocalyptic number.

3813240 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 3813240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860800).

3813240 is an abundant number, since it is smaller than the sum of its proper divisors (7908360).

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

3813240 is a wasteful number, since it uses less digits than its factorization.

3813240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3813240 is about 1952.7519043647. The cubic root of 3813240 is about 156.2301009325.

The spelling of 3813240 in words is "three million, eight hundred thirteen thousand, two hundred forty".