3643968 has 28 divisors (see below), whose sum is σ = 9641840. Its totient is φ = 1214592.

The previous prime is 3643963. The next prime is 3643973. The reversal of 3643968 is 8693463.

It is an interprime number because it is at equal distance from previous prime (3643963) and next prime (3643973).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3643961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9298 + ... + 9681.

Almost surely, 2^3643968 is an apocalyptic number.

It is an amenable number.

3643968 is an abundant number, since it is smaller than the sum of its proper divisors (5997872).

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

3643968 is a wasteful number, since it uses less digits than its factorization.

3643968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18994 (or 18984 counting only the distinct ones).

The product of its digits is 93312, while the sum is 39.

The square root of 3643968 is about 1908.9180181454. The cubic root of 3643968 is about 153.8833095898.

The spelling of 3643968 in words is "three million, six hundred forty-three thousand, nine hundred sixty-eight".