38683600 has 60 divisors (see below), whose sum is σ = 93989644. Its totient is φ = 15298560.

The previous prime is 38683591. The next prime is 38683609. The reversal of 38683600 is 638683.

It is an interprime number because it is at equal distance from previous prime (38683591) and next prime (38683609).

It can be written as a sum of positive squares in 6 ways, for example, as 44944 + 38638656 = 212^2 + 6216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38683609) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 38302 + ... + 39298.

Almost surely, 2^38683600 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 38683600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46994822).

38683600 is an abundant number, since it is smaller than the sum of its proper divisors (55306044).

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

38683600 is a wasteful number, since it uses less digits than its factorization.

38683600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 38683600 is about 6219.6141359412. The cubic root of 38683600 is about 338.2015767123.

The spelling of 38683600 in words is "thirty-eight million, six hundred eighty-three thousand, six hundred".