38886400 has 198 divisors, whose sum is σ = 115745568. Its totient is φ = 12902400.

The previous prime is 38886389. The next prime is 38886401. The reversal of 38886400 is 468883.

It is a self number, because there is not a number n which added to its sum of digits gives 38886400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38886401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1254385 + ... + 1254415.

Almost surely, 2^38886400 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 38886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57872784).

38886400 is an abundant number, since it is smaller than the sum of its proper divisors (76859168).

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

38886400 is a wasteful number, since it uses less digits than its factorization.

38886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 38886400 is about 6235.8960863696. The cubic root of 38886400 is about 338.7915577433.

The spelling of 38886400 in words is "thirty-eight million, eight hundred eighty-six thousand, four hundred".