38638080 has 320 divisors, whose sum is σ = 151240320. Its totient is φ = 9289728.

The previous prime is 38638079. The next prime is 38638087. The reversal of 38638080 is 8083683.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (38638087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898539 + ... + 898581.

It is an arithmetic number, because the mean of its divisors is an integer number (472626).

Almost surely, 2^38638080 is an apocalyptic number.

38638080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75620160).

38638080 is an abundant number, since it is smaller than the sum of its proper divisors (112602240).

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

38638080 is a wasteful number, since it uses less digits than its factorization.

38638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38638080 is about 6215.9536677810. The cubic root of 38638080 is about 338.0688677757.

The spelling of 38638080 in words is "thirty-eight million, six hundred thirty-eight thousand, eighty".