39730500 has 168 divisors, whose sum is σ = 131291160. Its totient is φ = 10497600.

The previous prime is 39730477. The next prime is 39730511. The reversal of 39730500 is 503793.

39730500 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 492804 + 39237696 = 702^2 + 6264^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 364446 + ... + 364554.

It is an arithmetic number, because the mean of its divisors is an integer number (781495).

Almost surely, 2^39730500 is an apocalyptic number.

39730500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39730500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65645580).

39730500 is an abundant number, since it is smaller than the sum of its proper divisors (91560660).

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

39730500 is a wasteful number, since it uses less digits than its factorization.

39730500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 39730500 is about 6303.2134661615. The cubic root of 39730500 is about 341.2253937094.

The spelling of 39730500 in words is "thirty-nine million, seven hundred thirty thousand, five hundred".