3947424 has 48 divisors (see below), whose sum is σ = 11162592. Its totient is φ = 1214208.

The previous prime is 3947413. The next prime is 3947431. The reversal of 3947424 is 4247493.

3947424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 334 + ... + 2829.

It is an arithmetic number, because the mean of its divisors is an integer number (232554).

Almost surely, 2^3947424 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 3947424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581296).

3947424 is an abundant number, since it is smaller than the sum of its proper divisors (7215168).

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

3947424 is a wasteful number, since it uses less digits than its factorization.

3947424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189 (or 3181 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 3947424 is about 1986.8125226100. The cubic root of 3947424 is about 158.0415422464.

It can be divided in two parts, 39474 and 24, that multiplied together give a triangular number (947376 = T₁₃₇₆).

The spelling of 3947424 in words is "three million, nine hundred forty-seven thousand, four hundred twenty-four".