3652872721 has 9 divisors (see below), whose sum is σ = 3856460283. Its totient is φ = 3459528360.

The previous prime is 3652872689. The next prime is 3652872733. The reversal of 3652872721 is 1272782563.

The square root of 3652872721 is 60439.

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

3652872721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 272613121 + 3380259600 = 16511^2 + 58140^2 .

It is not a de Polignac number, because 3652872721 - 2⁵ = 3652872689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3652872761) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1146751 + ... + 1149931.

It is an arithmetic number, because the mean of its divisors is an integer number (428495587).

Almost surely, 2^3652872721 is an apocalyptic number.

3652872721 is the 60439-th square number.

3652872721 is the 30220-th centered octagonal number.

It is an amenable number.

3652872721 is a deficient number, since it is larger than the sum of its proper divisors (203587562).

3652872721 is an frugal number, since it uses more digits than its factorization.

3652872721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6400 (or 3200 counting only the distinct ones).

The product of its digits is 282240, while the sum is 43.

The cubic root of 3652872721 is about 1540.0855522551.

The spelling of 3652872721 in words is "three billion, six hundred fifty-two million, eight hundred seventy-two thousand, seven hundred twenty-one".