38468080 has 80 divisors (see below), whose sum is σ = 103725504. Its totient is φ = 12994560.

The previous prime is 38468077. The next prime is 38468081. The reversal of 38468080 is 8086483.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38468081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40410 + ... + 41350.

Almost surely, 2^38468080 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 38468080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51862752).

38468080 is an abundant number, since it is smaller than the sum of its proper divisors (65257424).

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

38468080 is a wasteful number, since it uses less digits than its factorization.

38468080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 38468080 is about 6202.2641027289. The cubic root of 38468080 is about 337.5723265203.

The spelling of 38468080 in words is "thirty-eight million, four hundred sixty-eight thousand, eighty".