3963472 has 10 divisors (see below), whose sum is σ = 7679258. Its totient is φ = 1981728.

The previous prime is 3963469. The next prime is 3963473. The reversal of 3963472 is 2743693.

3963472 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 only one way, i.e., 2178576 + 1784896 = 1476^2 + 1336^2 .

It is a super-2 number, since 2×3963472² = 31418220589568, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3 + 9⁶ + 6⁸ + 3¹¹ + 4¹⁰ + 7⁴ + 2¹⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3963473) 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 as a sum of consecutive naturals, namely, 123843 + ... + 123874.

Almost surely, 2^3963472 is an apocalyptic number.

It is an amenable number.

3963472 is a deficient number, since it is larger than the sum of its proper divisors (3715786).

3963472 is a wasteful number, since it uses less digits than its factorization.

3963472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247725 (or 247719 counting only the distinct ones).

The product of its digits is 27216, while the sum is 34.

The square root of 3963472 is about 1990.8470559036. The cubic root of 3963472 is about 158.2554219330.

Subtracting from 3963472 its product of digits (27216), we obtain a square (3936256 = 1984²).

The spelling of 3963472 in words is "three million, nine hundred sixty-three thousand, four hundred seventy-two".