39742100 has 36 divisors (see below), whose sum is σ = 87028284. Its totient is φ = 15751680.

The previous prime is 39742099. The next prime is 39742127. The reversal of 39742100 is 124793.

39742100 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 6 ways, for example, as 1227664 + 38514436 = 1108^2 + 6206^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 39742100.

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 11 ways as a sum of consecutive naturals, for example, 9542 + ... + 13058.

Almost surely, 2^39742100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39742100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43514142).

39742100 is an abundant number, since it is smaller than the sum of its proper divisors (47286184).

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

39742100 is a wasteful number, since it uses less digits than its factorization.

39742100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 39742100 is about 6304.1335645749. The cubic root of 39742100 is about 341.2585993441.

Adding to 39742100 its reverse (124793), we get a palindrome (39866893).

The spelling of 39742100 in words is "thirty-nine million, seven hundred forty-two thousand, one hundred".