385329321001 has 27 divisors (see below), whose sum is σ = 418439426391. Its totient is φ = 354780400464.

The previous prime is 385329320989. The next prime is 385329321011. The reversal of 385329321001 is 100123923583.

The square root of 385329321001 is 620749.

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., 344797968025 + 40531352976 = 587195^2 + 201324^2 .

It is not a de Polignac number, because 385329321001 - 2²³ = 385320932393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385329321011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 436386106 + ... + 436386988.

It is an arithmetic number, because the mean of its divisors is an integer number (15497756533).

Almost surely, 2^385329321001 is an apocalyptic number.

385329321001 is the 620749-th square number.

385329321001 is the 310375-th centered octagonal number.

It is an amenable number.

385329321001 is a deficient number, since it is larger than the sum of its proper divisors (33110105390).

385329321001 is an frugal number, since it uses more digits than its factorization.

385329321001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 385329321001 in words is "three hundred eighty-five billion, three hundred twenty-nine million, three hundred twenty-one thousand, one".