38959760 has 80 divisors (see below), whose sum is σ = 107136000. Its totient is φ = 12891648.

The previous prime is 38959741. The next prime is 38959787. The reversal of 38959760 is 6795983.

It is a tau number, because it is divible by the number of its divisors (80).

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, 15041 + ... + 17439.

It is an arithmetic number, because the mean of its divisors is an integer number (1339200).

Almost surely, 2^38959760 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 38959760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568000).

38959760 is an abundant number, since it is smaller than the sum of its proper divisors (68176240).

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

38959760 is a wasteful number, since it uses less digits than its factorization.

38959760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 47.

The square root of 38959760 is about 6241.7753884612. The cubic root of 38959760 is about 339.0044696782.

The spelling of 38959760 in words is "thirty-eight million, nine hundred fifty-nine thousand, seven hundred sixty".