3784960 has 36 divisors (see below), whose sum is σ = 9069228. Its totient is φ = 1513472.

The previous prime is 3784943. The next prime is 3784967. The reversal of 3784960 is 694873.

3784960 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 2 ways, for example, as 1016064 + 2768896 = 1008^2 + 1664^2 .

It is not an unprimeable number, because it can be changed into a prime (3784967) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 199 + ... + 2758.

It is an arithmetic number, because the mean of its divisors is an integer number (251923).

Almost surely, 2^3784960 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 3784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4534614).

3784960 is an abundant number, since it is smaller than the sum of its proper divisors (5284268).

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

3784960 is an equidigital number, since it uses as much as digits as its factorization.

3784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2964 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 3784960 is about 1945.4973657140. The cubic root of 3784960 is about 155.8429275901.

The spelling of 3784960 in words is "three million, seven hundred eighty-four thousand, nine hundred sixty".