3788009730961 has 3 divisors (see below), whose sum is σ = 3788011677243. Its totient is φ = 3788007784680.

The previous prime is 3788009730917. The next prime is 3788009730979. The reversal of 3788009730961 is 1690379008873.

The square root of 3788009730961 is 1946281.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 3786017001361 + 1992729600 = 1945769^2 + 44640^2 .

It is not a de Polignac number, because 3788009730961 - 2¹⁷ = 3788009599889 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3788009730961.

It is not an unprimeable number, because it can be changed into a prime (3788009730361) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 973141 + ... + 2919421.

It is an arithmetic number, because the mean of its divisors is an integer number (1262670559081).

Almost surely, 2^{3788009730961} is an apocalyptic number.

3788009730961 is the 1946281-st square number.

3788009730961 is the 973141-st centered octagonal number.

It is an amenable number.

3788009730961 is a deficient number, since it is larger than the sum of its proper divisors (1946282).

3788009730961 is an frugal number, since it uses more digits than its factorization.

3788009730961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892562 (or 1946281 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 61.

The spelling of 3788009730961 in words is "three trillion, seven hundred eighty-eight billion, nine million, seven hundred thirty thousand, nine hundred sixty-one".