3616641 has 36 divisors (see below), whose sum is σ = 6224400. Its totient is φ = 2017008.

The previous prime is 3616637. The next prime is 3616649. The reversal of 3616641 is 1466163.

3616641 = 218² + 219² + ... + 276².

3616641 is a `hidden beast` number, since 3 + 6 + 16 + 641 = 666.

It is not a de Polignac number, because 3616641 - 2² = 3616637 is a prime.

It is a Curzon number.

3616641 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3616649) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25950 + ... + 26088.

It is an arithmetic number, because the mean of its divisors is an integer number (172900).

Almost surely, 2^3616641 is an apocalyptic number.

It is an amenable number.

3616641 is a deficient number, since it is larger than the sum of its proper divisors (2607759).

3616641 is a wasteful number, since it uses less digits than its factorization.

3616641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 3616641 is about 1901.7468285763. The cubic root of 3616641 is about 153.4976745643.

It can be divided in two parts, 36 and 16641, that multiplied together give a square (599076 = 774²).

The spelling of 3616641 in words is "three million, six hundred sixteen thousand, six hundred forty-one".