38062080 has 288 divisors, whose sum is σ = 153316800. Its totient is φ = 8552448.

The previous prime is 38062069. The next prime is 38062081. The reversal of 38062080 is 8026083.

38062080 is a `hidden beast` number, since 38 + 0 + 620 + 8 + 0 = 666.

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

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (38062081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645091 + ... + 645149.

It is an arithmetic number, because the mean of its divisors is an integer number (532350).

Almost surely, 2^38062080 is an apocalyptic number.

38062080 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 38062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76658400).

38062080 is an abundant number, since it is smaller than the sum of its proper divisors (115254720).

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

38062080 is a wasteful number, since it uses less digits than its factorization.

38062080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 38062080 is about 6169.4473010149. The cubic root of 38062080 is about 336.3805212765.

It can be divided in two parts, 3806 and 2080, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 38062080 in words is "thirty-eight million, sixty-two thousand, eighty".