3782240 has 96 divisors (see below), whose sum is σ = 11176704. Its totient is φ = 1175040.

The previous prime is 3782213. The next prime is 3782243. The reversal of 3782240 is 422873.

3782240 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3782243) 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 15 ways as a sum of consecutive naturals, for example, 12167 + ... + 12473.

It is an arithmetic number, because the mean of its divisors is an integer number (116424).

Almost surely, 2^3782240 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 3782240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588352).

3782240 is an abundant number, since it is smaller than the sum of its proper divisors (7394464).

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

3782240 is a wasteful number, since it uses less digits than its factorization.

3782240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 3782240 is about 1944.7981900444. The cubic root of 3782240 is about 155.8055873149.

The spelling of 3782240 in words is "three million, seven hundred eighty-two thousand, two hundred forty".