3837240 has 256 divisors, whose sum is σ = 15552000. Its totient is φ = 829440.

The previous prime is 3837217. The next prime is 3837241. The reversal of 3837240 is 427383.

3837240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3837241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201951 + ... + 201969.

It is an arithmetic number, because the mean of its divisors is an integer number (60750).

Almost surely, 2^3837240 is an apocalyptic number.

3837240 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 3837240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776000).

3837240 is an abundant number, since it is smaller than the sum of its proper divisors (11714760).

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

3837240 is a wasteful number, since it uses less digits than its factorization.

3837240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3837240 is about 1958.8874393390. The cubic root of 3837240 is about 156.5571791730.

The spelling of 3837240 in words is "three million, eight hundred thirty-seven thousand, two hundred forty".