38787984 has 75 divisors (see below), whose sum is σ = 112916353. Its totient is φ = 12854592.

The previous prime is 38787979. The next prime is 38787989. The reversal of 38787984 is 48978783.

The square root of 38787984 is 6228.

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

It is an interprime number because it is at equal distance from previous prime (38787979) and next prime (38787989).

It can be written as a sum of positive squares in only one way, i.e., 35283600 + 3504384 = 5940^2 + 1872^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 38787984.

It is not an unprimeable number, because it can be changed into a prime (38787989) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 224122 + ... + 224294.

Almost surely, 2^38787984 is an apocalyptic number.

38787984 is the 6228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38787984

38787984 is an abundant number, since it is smaller than the sum of its proper divisors (74128369).

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

38787984 is an equidigital number, since it uses as much as digits as its factorization.

38787984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 178 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The cubic root of 38787984 is about 338.5055050534.

The spelling of 38787984 in words is "thirty-eight million, seven hundred eighty-seven thousand, nine hundred eighty-four".