38917680 has 80 divisors (see below), whose sum is σ = 121492224. Its totient is φ = 10305280.

The previous prime is 38917667. The next prime is 38917693. The reversal of 38917680 is 8671983.

It is an interprime number because it is at equal distance from previous prime (38917667) and next prime (38917693).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39595 + ... + 40565.

Almost surely, 2^38917680 is an apocalyptic number.

38917680 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 38917680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60746112).

38917680 is an abundant number, since it is smaller than the sum of its proper divisors (82574544).

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

38917680 is a wasteful number, since it uses less digits than its factorization.

38917680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 38917680 is about 6238.4036419584. The cubic root of 38917680 is about 338.8823740673.

The spelling of 38917680 in words is "thirty-eight million, nine hundred seventeen thousand, six hundred eighty".