3643936 has 24 divisors (see below), whose sum is σ = 7487424. Its totient is φ = 1742400.

The previous prime is 3643921. The next prime is 3643951. The reversal of 3643936 is 6393463.

It is an interprime number because it is at equal distance from previous prime (3643921) and next prime (3643951).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

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, 1740 + ... + 3211.

It is an arithmetic number, because the mean of its divisors is an integer number (311976).

Almost surely, 2^3643936 is an apocalyptic number.

It is an amenable number.

3643936 is an abundant number, since it is smaller than the sum of its proper divisors (3843488).

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

3643936 is a wasteful number, since it uses less digits than its factorization.

3643936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4984 (or 4976 counting only the distinct ones).

The product of its digits is 34992, while the sum is 34.

The square root of 3643936 is about 1908.9096364155. The cubic root of 3643936 is about 153.8828591394.

The spelling of 3643936 in words is "three million, six hundred forty-three thousand, nine hundred thirty-six".