38617680 has 40 divisors (see below), whose sum is σ = 119715552. Its totient is φ = 10297984.

The previous prime is 38617679. The next prime is 38617729. The reversal of 38617680 is 8671683.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80214 + ... + 80693.

Almost surely, 2^38617680 is an apocalyptic number.

38617680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38617680 is an abundant number, since it is smaller than the sum of its proper divisors (81097872).

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

38617680 is a wasteful number, since it uses less digits than its factorization.

38617680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160923 (or 160917 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 38617680 is about 6214.3125122575. The cubic root of 38617680 is about 338.0093598239.

The spelling of 38617680 in words is "thirty-eight million, six hundred seventeen thousand, six hundred eighty".