39705138 has 96 divisors (see below), whose sum is σ = 98908992. Its totient is φ = 11404800.

The previous prime is 39705121. The next prime is 39705151. The reversal of 39705138 is 83150793.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543870 + ... + 543942.

It is an arithmetic number, because the mean of its divisors is an integer number (1030302).

Almost surely, 2^39705138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39705138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49454496).

39705138 is an abundant number, since it is smaller than the sum of its proper divisors (59203854).

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

39705138 is a wasteful number, since it uses less digits than its factorization.

39705138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 39705138 is about 6301.2013140353. The cubic root of 39705138 is about 341.1527710765.

The spelling of 39705138 in words is "thirty-nine million, seven hundred five thousand, one hundred thirty-eight".