38203680 has 192 divisors, whose sum is σ = 130636800. Its totient is φ = 9354240.

The previous prime is 38203679. The next prime is 38203681. The reversal of 38203680 is 8630283.

It is an interprime number because it is at equal distance from previous prime (38203679) and next prime (38203681).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (38203681) 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, 538045 + ... + 538115.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 2^38203680 is an apocalyptic number.

38203680 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 38203680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65318400).

38203680 is an abundant number, since it is smaller than the sum of its proper divisors (92433120).

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

38203680 is a wasteful number, since it uses less digits than its factorization.

38203680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 38203680 is about 6180.9125539842. The cubic root of 38203680 is about 336.7971436013.

It can be divided in two parts, 38203 and 680, that added together give a palindrome (38883).

The spelling of 38203680 in words is "thirty-eight million, two hundred three thousand, six hundred eighty".