38769984 has 168 divisors, whose sum is σ = 126004320. Its totient is φ = 11289600.

The previous prime is 38769967. The next prime is 38769989. The reversal of 38769984 is 48996783.

It is a super-2 number, since 2×38769984² = 3006223318720512, which contains 22 as substring.

Its product of digits (2612736) is a multiple of the sum of its prime divisors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 38769984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38769989) 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 23 ways as a sum of consecutive naturals, for example, 183639 + ... + 183849.

Almost surely, 2^38769984 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 38769984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63002160).

38769984 is an abundant number, since it is smaller than the sum of its proper divisors (87234336).

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

38769984 is a wasteful number, since it uses less digits than its factorization.

38769984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 256 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 38769984 is about 6226.5547456037. The cubic root of 38769984 is about 338.4531345233.

It can be divided in two parts, 387699 and 84, that added together give a palindrome (387783).

The spelling of 38769984 in words is "thirty-eight million, seven hundred sixty-nine thousand, nine hundred eighty-four".