3645005463 has 24 divisors (see below), whose sum is σ = 5800528656. Its totient is φ = 2187216000.

The previous prime is 3645005393. The next prime is 3645005471.

3645005463 is a `hidden beast` number, since 3 + 64 + 50 + 0 + 546 + 3 = 666.

3645005463 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3645005463 - 2²⁵ = 3611451031 is a prime.

It is a super-3 number, since 3×3645005463³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3645005363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172270 + ... + 192267.

It is an arithmetic number, because the mean of its divisors is an integer number (241688694).

Almost surely, 2^3645005463 is an apocalyptic number.

3645005463 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3645005463 is a deficient number, since it is larger than the sum of its proper divisors (2155523193).

3645005463 is a wasteful number, since it uses less digits than its factorization.

3645005463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364655 (or 364652 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3645005463 is about 60373.8806355861. The cubic root of 3645005463 is about 1538.9791208645.

It can be divided in two parts, 364500 and 5463, that added together give a palindrome (369963).

The spelling of 3645005463 in words is "three billion, six hundred forty-five million, five thousand, four hundred sixty-three".