3945384 has 48 divisors (see below), whose sum is σ = 10981620. Its totient is φ = 1278720.

The previous prime is 3945367. The next prime is 3945391. The reversal of 3945384 is 4835493.

3945384 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 2 ways, for example, as 3802500 + 142884 = 1950^2 + 378^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 1924 + ... + 3404.

Almost surely, 2^3945384 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 3945384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490810).

3945384 is an abundant number, since it is smaller than the sum of its proper divisors (7036236).

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

3945384 is a wasteful number, since it uses less digits than its factorization.

3945384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1523 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3945384 is about 1986.2990711371. The cubic root of 3945384 is about 158.0143126488.

It can be divided in two parts, 394 and 5384, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 3945384 in words is "three million, nine hundred forty-five thousand, three hundred eighty-four".