3939947361 has 63 divisors (see below), whose sum is σ = 6750162003. Its totient is φ = 2214490320.

The previous prime is 3939947339. The next prime is 3939947377. The reversal of 3939947361 is 1637499393.

The square root of 3939947361 is 62769.

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., 128119761 + 3811827600 = 11319^2 + 61740^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 3939947361 - 2⁷ = 3939947233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3939947298 and 3939947307.

It is not an unprimeable number, because it can be changed into a prime (3939947381) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 64589271 + ... + 64589331.

Almost surely, 2^3939947361 is an apocalyptic number.

3939947361 is the 62769-th square number.

3939947361 is the 31385-th centered octagonal number.

It is an amenable number.

3939947361 is a deficient number, since it is larger than the sum of its proper divisors (2810214642).

3939947361 is an frugal number, since it uses more digits than its factorization.

3939947361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 71 counting only the distinct ones).

The product of its digits is 3306744, while the sum is 54.

The cubic root of 3939947361 is about 1579.4169938164.

The spelling of 3939947361 in words is "three billion, nine hundred thirty-nine million, nine hundred forty-seven thousand, three hundred sixty-one".