38675600 has 60 divisors (see below), whose sum is σ = 95946240. Its totient is φ = 14966400.

The previous prime is 38675591. The next prime is 38675603. The reversal of 38675600 is 657683.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38675603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10841 + ... + 13959.

It is an arithmetic number, because the mean of its divisors is an integer number (1599104).

Almost surely, 2^38675600 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 38675600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47973120).

38675600 is an abundant number, since it is smaller than the sum of its proper divisors (57270640).

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

38675600 is a wasteful number, since it uses less digits than its factorization.

38675600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 38675600 is about 6218.9709759734. The cubic root of 38675600 is about 338.1782610683.

The spelling of 38675600 in words is "thirty-eight million, six hundred seventy-five thousand, six hundred".