38457800 has 48 divisors (see below), whose sum is σ = 91848660. Its totient is φ = 14964480.

The previous prime is 38457779. The next prime is 38457803. The reversal of 38457800 is 875483.

It can be written as a sum of positive squares in 6 ways, for example, as 21696964 + 16760836 = 4658^2 + 4094^2 .

It is not an unprimeable number, because it can be changed into a prime (38457803) 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, 4802 + ... + 9998.

Almost surely, 2^38457800 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 38457800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45924330).

38457800 is an abundant number, since it is smaller than the sum of its proper divisors (53390860).

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

38457800 is a wasteful number, since it uses less digits than its factorization.

38457800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 38457800 is about 6201.4353177309. The cubic root of 38457800 is about 337.5422535118.

The spelling of 38457800 in words is "thirty-eight million, four hundred fifty-seven thousand, eight hundred".