3638623041 has 9 divisors (see below), whose sum is σ = 5256050241. Its totient is φ = 2425628052.

The previous prime is 3638623013. The next prime is 3638623057. The reversal of 3638623041 is 1403268363.

The square root of 3638623041 is 60321.

It is a perfect power (a square), and thus also a powerful number.

3638623041 is a `hidden beast` number, since 3 + 6 + 386 + 230 + 41 = 666.

3638623041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 3638623041 - 2⁷ = 3638622913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3638622987 and 3638623005.

It is not an unprimeable number, because it can be changed into a prime (3638623081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 170910 + ... + 191016.

Almost surely, 2^3638623041 is an apocalyptic number.

3638623041 is the 60321-st square number.

3638623041 is the 30161-st centered octagonal number.

It is an amenable number.

3638623041 is a deficient number, since it is larger than the sum of its proper divisors (1617427200).

3638623041 is an frugal number, since it uses more digits than its factorization.

3638623041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40220 (or 20110 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The cubic root of 3638623041 is about 1538.0803428047.

Multiplying 3638623041 by its sum of digits (36), we get a square (130990429476 = 361926²).

The spelling of 3638623041 in words is "three billion, six hundred thirty-eight million, six hundred twenty-three thousand, forty-one".