38688400 has 45 divisors (see below), whose sum is σ = 93248713. Its totient is φ = 15425600.

The previous prime is 38688367. The next prime is 38688401. The reversal of 38688400 is 488683.

The square root of 38688400 is 6220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13927824 + 24760576 = 3732^2 + 4976^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38688400.

It is not an unprimeable number, because it can be changed into a prime (38688401) 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 8 ways as a sum of consecutive naturals, for example, 124245 + ... + 124555.

Almost surely, 2^38688400 is an apocalyptic number.

38688400 is the 6220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38688400

38688400 is an abundant number, since it is smaller than the sum of its proper divisors (54560313).

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

38688400 is an equidigital number, since it uses as much as digits as its factorization.

38688400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 318 counting only the distinct ones).

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

The cubic root of 38688400 is about 338.2155645558.

Multiplying 38688400 by its product of nonzero digits (36864), we get a square (1426209177600 = 1194240²).

The spelling of 38688400 in words is "thirty-eight million, six hundred eighty-eight thousand, four hundred".