3665796288672 has 48 divisors (see below), whose sum is σ = 10997388868032. Its totient is φ = 1047370368000.

The previous prime is 3665796288641. The next prime is 3665796288703. The reversal of 3665796288672 is 2768826975663.

It is an interprime number because it is at equal distance from previous prime (3665796288641) and next prime (3665796288703).

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

It is a junction number, because it is equal to n+sod(n) for n = 3665796288594 and 3665796288603.

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, 2727526329 + ... + 2727527672.

It is an arithmetic number, because the mean of its divisors is an integer number (229112268084).

Almost surely, 2^{3665796288672} is an apocalyptic number.

3665796288672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3665796288672 is an abundant number, since it is smaller than the sum of its proper divisors (7331592579360).

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

3665796288672 is a wasteful number, since it uses less digits than its factorization.

3665796288672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5455054021 (or 5455054013 counting only the distinct ones).

The product of its digits is 2194698240, while the sum is 75.

The spelling of 3665796288672 in words is "three trillion, six hundred sixty-five billion, seven hundred ninety-six million, two hundred eighty-eight thousand, six hundred seventy-two".