38960960 has 56 divisors (see below), whose sum is σ = 93710760. Its totient is φ = 15427584.

The previous prime is 38960959. The next prime is 38961031. The reversal of 38960960 is 6906983.

It can be written as a sum of positive squares in 4 ways, for example, as 719104 + 38241856 = 848^2 + 6184^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34322 + ... + 35438.

Almost surely, 2^38960960 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 38960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46855380).

38960960 is an abundant number, since it is smaller than the sum of its proper divisors (54749800).

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

38960960 is a wasteful number, since it uses less digits than its factorization.

38960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 38960960 is about 6241.8715142175. The cubic root of 38960960 is about 339.0079502027.

The spelling of 38960960 in words is "thirty-eight million, nine hundred sixty thousand, nine hundred sixty".