3209795640672 has 48 divisors (see below), whose sum is σ = 8426852344512. Its totient is φ = 1069787272320.

The previous prime is 3209795640661. The next prime is 3209795640677. The reversal of 3209795640672 is 2760465979023.

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

It is a super-3 number, since 3×3209795640672³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3209795640677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1544338 + ... + 2967249.

It is an arithmetic number, because the mean of its divisors is an integer number (175559423844).

Almost surely, 2^{3209795640672} is an apocalyptic number.

3209795640672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3209795640672 is an abundant number, since it is smaller than the sum of its proper divisors (5217056703840).

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

3209795640672 is a wasteful number, since it uses less digits than its factorization.

3209795640672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4519011 (or 4519003 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 60.

The spelling of 3209795640672 in words is "three trillion, two hundred nine billion, seven hundred ninety-five million, six hundred forty thousand, six hundred seventy-two".