3663642144 has 48 divisors (see below), whose sum is σ = 9640118880. Its totient is φ = 1218286080.

The previous prime is 3663642133. The next prime is 3663642173. The reversal of 3663642144 is 4412463663.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5317 + ... + 85764.

It is an arithmetic number, because the mean of its divisors is an integer number (200835810).

Almost surely, 2^3663642144 is an apocalyptic number.

It is an amenable number.

3663642144 is an abundant number, since it is smaller than the sum of its proper divisors (5976476736).

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

3663642144 is a wasteful number, since it uses less digits than its factorization.

3663642144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91513 (or 91505 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

The square root of 3663642144 is about 60528.0277557430. The cubic root of 3663642144 is about 1541.5975640508.

The spelling of 3663642144 in words is "three billion, six hundred sixty-three million, six hundred forty-two thousand, one hundred forty-four".