39730960 has 40 divisors (see below), whose sum is σ = 92880216. Its totient is φ = 15805440.

The previous prime is 39730931. The next prime is 39730967. The reversal of 39730960 is 6903793.

39730960 is digitally balanced in base 2, 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 4 ways, for example, as 2715904 + 37015056 = 1648^2 + 6084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (39730967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14500 + ... + 17020.

Almost surely, 2^39730960 is an apocalyptic number.

39730960 is the 3152-nd decagonal number.

It is an amenable number.

39730960 is an abundant number, since it is smaller than the sum of its proper divisors (53149256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

39730960 is a wasteful number, since it uses less digits than its factorization.

39730960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 37.

The square root of 39730960 is about 6303.2499553802. The cubic root of 39730960 is about 341.2267106076.

The spelling of 39730960 in words is "thirty-nine million, seven hundred thirty thousand, nine hundred sixty".