3863072320900 has 135 divisors (see below), whose sum is σ = 9089230047401. Its totient is φ = 1425138711360.

The previous prime is 3863072320847. The next prime is 3863072320907. The reversal of 3863072320900 is 90232703683.

The square root of 3863072320900 is 1965470.

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

It can be written as a sum of positive squares in 7 ways, for example, as 3790271647044 + 72800673856 = 1946862^2 + 269816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3863072320907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3321643719 + ... + 3321644881.

Almost surely, 2^{3863072320900} is an apocalyptic number.

3863072320900 is the 1965470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3863072320900

3863072320900 is an abundant number, since it is smaller than the sum of its proper divisors (5226157726501).

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

3863072320900 is an frugal number, since it uses more digits than its factorization.

3863072320900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2392 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 43.

The spelling of 3863072320900 in words is "three trillion, eight hundred sixty-three billion, seventy-two million, three hundred twenty thousand, nine hundred".