38386080 has 288 divisors, whose sum is σ = 146240640. Its totient is φ = 9123840.

The previous prime is 38386067. The next prime is 38386081. The reversal of 38386080 is 8068383.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×38386080² = 2946982275532800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38386081) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 629250 + ... + 629310.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 2^38386080 is an apocalyptic number.

38386080 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 38386080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

38386080 is an abundant number, since it is smaller than the sum of its proper divisors (107854560).

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

38386080 is a wasteful number, since it uses less digits than its factorization.

38386080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

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

The square root of 38386080 is about 6195.6500869562. The cubic root of 38386080 is about 337.3322952817.

The spelling of 38386080 in words is "thirty-eight million, three hundred eighty-six thousand, eighty".