38608960 has 56 divisors (see below), whose sum is σ = 99020376. Its totient is φ = 14254080.

The previous prime is 38608957. The next prime is 38608961. The reversal of 38608960 is 6980683.

It can be written as a sum of positive squares in 4 ways, for example, as 4596736 + 34012224 = 2144^2 + 5832^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (38608961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481 + ... + 8800.

It is an arithmetic number, because the mean of its divisors is an integer number (1768221).

Almost surely, 2^38608960 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 38608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49510188).

38608960 is an abundant number, since it is smaller than the sum of its proper divisors (60411416).

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

38608960 is a wasteful number, since it uses less digits than its factorization.

38608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9311 (or 9301 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 38608960 is about 6213.6108664769. The cubic root of 38608960 is about 337.9839166979.

The spelling of 38608960 in words is "thirty-eight million, six hundred eight thousand, nine hundred sixty".