38417680 has 80 divisors (see below), whose sum is σ = 105421824. Its totient is φ = 12741120.

The previous prime is 38417669. The next prime is 38417681. The reversal of 38417680 is 8671483.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (38417681) 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, 16254 + ... + 18466.

Almost surely, 2^38417680 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 38417680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52710912).

38417680 is an abundant number, since it is smaller than the sum of its proper divisors (67004144).

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

38417680 is a wasteful number, since it uses less digits than its factorization.

38417680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 38417680 is about 6198.1997386338. The cubic root of 38417680 is about 337.4248355705.

The spelling of 38417680 in words is "thirty-eight million, four hundred seventeen thousand, six hundred eighty".