39728063761 has 9 divisors (see below), whose sum is σ = 40838395899. Its totient is φ = 38647156824.

The previous prime is 39728063743. The next prime is 39728063773. The reversal of 39728063761 is 16736082793.

It is a happy number.

The square root of 39728063761 is 199319.

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., 35549217025 + 4178846736 = 188545^2 + 64644^2 .

It is not a de Polignac number, because 39728063761 - 2⁷ = 39728063633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 39728063699 and 39728063708.

It is not an unprimeable number, because it can be changed into a prime (39728063701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7372110 + ... + 7377496.

Almost surely, 2^39728063761 is an apocalyptic number.

39728063761 is the 199319-th square number.

39728063761 is the 99660-th centered octagonal number.

It is an amenable number.

39728063761 is a deficient number, since it is larger than the sum of its proper divisors (1110332138).

39728063761 is an frugal number, since it uses more digits than its factorization.

39728063761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10848 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

It can be divided in two parts, 397280 and 63761, that added together give a square (461041 = 679²).

The spelling of 39728063761 in words is "thirty-nine billion, seven hundred twenty-eight million, sixty-three thousand, seven hundred sixty-one".