3967712 has 24 divisors (see below), whose sum is σ = 8927856. Its totient is φ = 1700352.

The previous prime is 3967699. The next prime is 3967727. The reversal of 3967712 is 2177693.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8633 + ... + 9080.

It is an arithmetic number, because the mean of its divisors is an integer number (371994).

Almost surely, 2^3967712 is an apocalyptic number.

3967712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3967712 is an abundant number, since it is smaller than the sum of its proper divisors (4960144).

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

3967712 is a wasteful number, since it uses less digits than its factorization.

3967712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17730 (or 17722 counting only the distinct ones).

The product of its digits is 15876, while the sum is 35.

The square root of 3967712 is about 1991.9116446268. The cubic root of 3967712 is about 158.3118340769.

The spelling of 3967712 in words is "three million, nine hundred sixty-seven thousand, seven hundred twelve".