38480960 has 112 divisors (see below), whose sum is σ = 107533440. Its totient is φ = 12840960.

The previous prime is 38480957. The next prime is 38480969. The reversal of 38480960 is 6908483.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (38480969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91631 + ... + 92049.

It is an arithmetic number, because the mean of its divisors is an integer number (960120).

Almost surely, 2^38480960 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 38480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53766720).

38480960 is an abundant number, since it is smaller than the sum of its proper divisors (69052480).

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

38480960 is a wasteful number, since it uses less digits than its factorization.

38480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 38480960 is about 6203.3023463313. The cubic root of 38480960 is about 337.6099979819.

The spelling of 38480960 in words is "thirty-eight million, four hundred eighty thousand, nine hundred sixty".