3643893 has 16 divisors (see below), whose sum is σ = 5889600. Its totient is φ = 2208240.

The previous prime is 3643891. The next prime is 3643897. The reversal of 3643893 is 3983463.

3643893 = 62² + 63² + ... + 223².

3643893 is a `hidden beast` number, since 3 + 643 + 8 + 9 + 3 = 666.

It is not a de Polignac number, because 3643893 - 2¹ = 3643891 is a prime.

3643893 is a lucky number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3643891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5838 + ... + 6431.

It is an arithmetic number, because the mean of its divisors is an integer number (368100).

Almost surely, 2^3643893 is an apocalyptic number.

3643893 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3643893 is a deficient number, since it is larger than the sum of its proper divisors (2245707).

3643893 is a wasteful number, since it uses less digits than its factorization.

3643893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12289 (or 12283 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3643893 is about 1908.8983734081. The cubic root of 3643893 is about 153.8822538426.

The spelling of 3643893 in words is "three million, six hundred forty-three thousand, eight hundred ninety-three".