39673368 has 128 divisors (see below), whose sum is σ = 132672000. Its totient is φ = 10730880.

The previous prime is 39673357. The next prime is 39673369. The reversal of 39673368 is 86337693.

It is a happy number.

39673368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×39673368² = 3147952256926848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39673369) 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 31 ways as a sum of consecutive naturals, for example, 28038 + ... + 29418.

It is an arithmetic number, because the mean of its divisors is an integer number (1036500).

Almost surely, 2^39673368 is an apocalyptic number.

39673368 is a gapful number since it is divisible by the number (38) 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 39673368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66336000).

39673368 is an abundant number, since it is smaller than the sum of its proper divisors (92998632).

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

39673368 is a wasteful number, since it uses less digits than its factorization.

39673368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1412 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 39673368 is about 6298.6798616853. The cubic root of 39673368 is about 341.0617558565.

The spelling of 39673368 in words is "thirty-nine million, six hundred seventy-three thousand, three hundred sixty-eight".