3643505144 has 64 divisors (see below), whose sum is σ = 7668898560. Its totient is φ = 1614366720.

The previous prime is 3643505143. The next prime is 3643505149. The reversal of 3643505144 is 4415053463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3643505143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144314 + ... + 167670.

It is an arithmetic number, because the mean of its divisors is an integer number (119826540).

Almost surely, 2^3643505144 is an apocalyptic number.

3643505144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3643505144 is an abundant number, since it is smaller than the sum of its proper divisors (4025393416).

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

3643505144 is a wasteful number, since it uses less digits than its factorization.

3643505144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23448 (or 23444 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The square root of 3643505144 is about 60361.4541243002. The cubic root of 3643505144 is about 1538.7679390608.

The spelling of 3643505144 in words is "three billion, six hundred forty-three million, five hundred five thousand, one hundred forty-four".