39681630 has 128 divisors (see below), whose sum is σ = 111974400. Its totient is φ = 9988992.

The previous prime is 39681623. The next prime is 39681637. The reversal of 39681630 is 3618693.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (39681623) and next prime (39681637).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39681637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 672541 + ... + 672599.

It is an arithmetic number, because the mean of its divisors is an integer number (874800).

Almost surely, 2^39681630 is an apocalyptic number.

39681630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39681630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55987200).

39681630 is an abundant number, since it is smaller than the sum of its proper divisors (72292770).

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

39681630 is a wasteful number, since it uses less digits than its factorization.

39681630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 39681630 is about 6299.3356792602. The cubic root of 39681630 is about 341.0854296440.

The spelling of 39681630 in words is "thirty-nine million, six hundred eighty-one thousand, six hundred thirty".