38333680 has 160 divisors (see below), whose sum is σ = 114278400. Its totient is φ = 11854080.

The previous prime is 38333671. The next prime is 38333689. The reversal of 38333680 is 8633383.

It is an interprime number because it is at equal distance from previous prime (38333671) and next prime (38333689).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38333689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301777 + ... + 301903.

It is an arithmetic number, because the mean of its divisors is an integer number (714240).

Almost surely, 2^38333680 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 38333680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57139200).

38333680 is an abundant number, since it is smaller than the sum of its proper divisors (75944720).

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

38333680 is a wasteful number, since it uses less digits than its factorization.

38333680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 38333680 is about 6191.4198694645. The cubic root of 38333680 is about 337.1787303999.

The spelling of 38333680 in words is "thirty-eight million, three hundred thirty-three thousand, six hundred eighty".