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3786063961 = 37216632
BaseRepresentation
bin1110000110101010…
…1100000001011001
3100202212010222101011
43201222230001121
530223213021321
61423404253521
7162552004231
oct34152540131
910685128334
103786063961
111673152989
12897b412a1
134844c8144
1427cb84cc1
151725b6ae1
hexe1aac059

3786063961 has 9 divisors (see below), whose sum is σ = 3893496831. Its totient is φ = 3681522792.

The previous prime is 3786063947. The next prime is 3786064049. The reversal of 3786063961 is 1693606873.

The square root of 3786063961 is 61531.

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

3786063961 is digitally balanced in base 3, 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., 3387822025 + 398241936 = 58205^2 + 19956^2 .

It is not a de Polignac number, because 3786063961 - 223 = 3777675353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3786063161) 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, 2275816 + ... + 2277478.

It is an arithmetic number, because the mean of its divisors is an integer number (432610759).

Almost surely, 23786063961 is an apocalyptic number.

3786063961 is the 61531-st square number.

3786063961 is the 30766-th centered octagonal number.

It is an amenable number.

3786063961 is a deficient number, since it is larger than the sum of its proper divisors (107432870).

3786063961 is an frugal number, since it uses more digits than its factorization.

3786063961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The cubic root of 3786063961 is about 1558.5807770973.

Multiplying 3786063961 by its sum of digits (49), we get a square (185517134089 = 4307172).

The spelling of 3786063961 in words is "three billion, seven hundred eighty-six million, sixty-three thousand, nine hundred sixty-one".

Divisors: 1 37 1369 1663 61531 2276647 2765569 102326053 3786063961