3802215305329 has 9 divisors (see below), whose sum is σ = 4423001029131. Its totient is φ = 3259029990720.

The previous prime is 3802215305281. The next prime is 3802215305363. The reversal of 3802215305329 is 9235035122083.

The square root of 3802215305329 is 1949927.

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., 2402726305329 + 1399489000000 = 1550073^2 + 1183000^2 .

It is not a de Polignac number, because 3802215305329 - 2¹⁵ = 3802215272561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3802215705329) 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, 13510209 + ... + 13788769.

Almost surely, 2^{3802215305329} is an apocalyptic number.

3802215305329 is the 1949927-th square number.

3802215305329 is the 974964-th centered octagonal number.

It is an amenable number.

3802215305329 is a deficient number, since it is larger than the sum of its proper divisors (620785723802).

3802215305329 is an frugal number, since it uses more digits than its factorization.

3802215305329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557136 (or 278568 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 3802215305329 in words is "three trillion, eight hundred two billion, two hundred fifteen million, three hundred five thousand, three hundred twenty-nine".