3947040 has 72 divisors (see below), whose sum is σ = 13474188. Its totient is φ = 1052160.

The previous prime is 3947023. The next prime is 3947051. The reversal of 3947040 is 407493.

It can be written as a sum of positive squares in 2 ways, for example, as 3825936 + 121104 = 1956^2 + 348^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3946995 and 3947013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70 + ... + 2810.

Almost surely, 2^3947040 is an apocalyptic number.

3947040 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 3947040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6737094).

3947040 is an abundant number, since it is smaller than the sum of its proper divisors (9527148).

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

3947040 is a wasteful number, since it uses less digits than its factorization.

3947040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3947040 is about 1986.7158830593. The cubic root of 3947040 is about 158.0364173920.

The spelling of 3947040 in words is "three million, nine hundred forty-seven thousand, forty".