3201007626496 has 27 divisors (see below), whose sum is σ = 6389568457993. Its totient is φ = 1600489500160.

The previous prime is 3201007626469. The next prime is 3201007626499. The reversal of 3201007626496 is 6946267001023.

The square root of 3201007626496 is 1789136.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1865781156096 + 1335226470400 = 1365936^2 + 1155520^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3201007626499) 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 2 ways as a sum of consecutive naturals, for example, 28570266 + ... + 28682086.

Almost surely, 2^{3201007626496} is an apocalyptic number.

3201007626496 is the 1789136-th square number.

It is an amenable number.

3201007626496 is a deficient number, since it is larger than the sum of its proper divisors (3188560831497).

3201007626496 is an frugal number, since it uses more digits than its factorization.

3201007626496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223658 (or 111823 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 3201007626496 in words is "three trillion, two hundred one billion, seven million, six hundred twenty-six thousand, four hundred ninety-six".