39488140 has 48 divisors (see below), whose sum is σ = 86748480. Its totient is φ = 15079680.

The previous prime is 39488123. The next prime is 39488159. The reversal of 39488140 is 4188493.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 39488140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59410 + ... + 60070.

It is an arithmetic number, because the mean of its divisors is an integer number (1807260).

Almost surely, 2^39488140 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 39488140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43374240).

39488140 is an abundant number, since it is smaller than the sum of its proper divisors (47260340).

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

39488140 is a wasteful number, since it uses less digits than its factorization.

39488140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 39488140 is about 6283.9589432141. The cubic root of 39488140 is about 340.5301418099.

The spelling of 39488140 in words is "thirty-nine million, four hundred eighty-eight thousand, one hundred forty".