3643956 has 18 divisors (see below), whose sum is σ = 9211202. Its totient is φ = 1214640.

The previous prime is 3643951. The next prime is 3643961. The reversal of 3643956 is 6593463.

3643956 is a `hidden beast` number, since 3 + 643 + 9 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3643951) and next prime (3643961).

It can be written as a sum of positive squares in only one way, i.e., 2056356 + 1587600 = 1434^2 + 1260^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 101221 = 3643956 / (3 + 6 + 4 + 3 + 9 + 5 + 6).

It is a d-powerful number, because it can be written as 3⁷ + 6³ + 4³ + 3⁷ + 9⁴ + 5⁹ + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 3643956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3643951) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50575 + ... + 50646.

Almost surely, 2^3643956 is an apocalyptic number.

3643956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3643956 is an abundant number, since it is smaller than the sum of its proper divisors (5567246).

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

3643956 is a wasteful number, since it uses less digits than its factorization.

3643956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101231 (or 101226 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 3643956 is about 1908.9148750010. The cubic root of 3643956 is about 153.8831406712.

The spelling of 3643956 in words is "three million, six hundred forty-three thousand, nine hundred fifty-six".