3963872 has 24 divisors (see below), whose sum is σ = 8514072. Its totient is φ = 1801600.

The previous prime is 3963857. The next prime is 3963887. The reversal of 3963872 is 2783693.

It is an interprime number because it is at equal distance from previous prime (3963857) and next prime (3963887).

It is an Ulam number.

It is a d-powerful number, because it can be written as 3³ + 9⁵ + 6⁸ + 3⁷ + 8⁷ + 7⁶ + 2¹³ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5279 + ... + 5982.

It is an arithmetic number, because the mean of its divisors is an integer number (354753).

Almost surely, 2^3963872 is an apocalyptic number.

3963872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3963872 is an abundant number, since it is smaller than the sum of its proper divisors (4550200).

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

3963872 is a wasteful number, since it uses less digits than its factorization.

3963872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11282 (or 11274 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 3963872 is about 1990.9475131203. The cubic root of 3963872 is about 158.2607455515.

The spelling of 3963872 in words is "three million, nine hundred sixty-three thousand, eight hundred seventy-two".