3819240 has 72 divisors (see below), whose sum is σ = 12534210. Its totient is φ = 1008576.

The previous prime is 3819229. The next prime is 3819259. The reversal of 3819240 is 429183.

3819240 is digitally balanced in base 2, 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 only one way, i.e., 3437316 + 381924 = 1854^2 + 618^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 37029 + ... + 37131.

Almost surely, 2^3819240 is an apocalyptic number.

3819240 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 3819240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267105).

3819240 is an abundant number, since it is smaller than the sum of its proper divisors (8714970).

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

3819240 is a wasteful number, since it uses less digits than its factorization.

3819240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3819240 is about 1954.2875939841. The cubic root of 3819240 is about 156.3119988627.

The spelling of 3819240 in words is "three million, eight hundred nineteen thousand, two hundred forty".