39942000 has 240 divisors, whose sum is σ = 159936192. Its totient is φ = 9100800.

The previous prime is 39941999. The next prime is 39942011. The reversal of 39942000 is 24993.

39942000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 125842 + ... + 126158.

Almost surely, 2^39942000 is an apocalyptic number.

39942000 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 39942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79968096).

39942000 is an abundant number, since it is smaller than the sum of its proper divisors (119994192).

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

39942000 is a wasteful number, since it uses less digits than its factorization.

39942000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 39942000 is about 6319.9683543512. The cubic root of 39942000 is about 341.8298117022.

Adding to 39942000 its reverse (24993), we get a palindrome (39966993).

The spelling of 39942000 in words is "thirty-nine million, nine hundred forty-two thousand".