39488960 has 168 divisors, whose sum is σ = 116031264. Its totient is φ = 12533760.

The previous prime is 39488957. The next prime is 39488983. The reversal of 39488960 is 6988493.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 647330 + ... + 647390.

Almost surely, 2^39488960 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 39488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58015632).

39488960 is an abundant number, since it is smaller than the sum of its proper divisors (76542304).

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

39488960 is a wasteful number, since it uses less digits than its factorization.

39488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The square root of 39488960 is about 6284.0241883685. The cubic root of 39488960 is about 340.5324989124.

The spelling of 39488960 in words is "thirty-nine million, four hundred eighty-eight thousand, nine hundred sixty".