38659680 has 240 divisors, whose sum is σ = 144532080. Its totient is φ = 9704448.

The previous prime is 38659667. The next prime is 38659681. The reversal of 38659680 is 8695683.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×38659680³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38659681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 246162 + ... + 246318.

It is an arithmetic number, because the mean of its divisors is an integer number (602217).

Almost surely, 2^38659680 is an apocalyptic number.

38659680 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 38659680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72266040).

38659680 is an abundant number, since it is smaller than the sum of its proper divisors (105872400).

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

38659680 is a wasteful number, since it uses less digits than its factorization.

38659680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 38659680 is about 6217.6908897114. The cubic root of 38659680 is about 338.1318533694.

The spelling of 38659680 in words is "thirty-eight million, six hundred fifty-nine thousand, six hundred eighty".