38276384 has 48 divisors (see below), whose sum is σ = 80994816. Its totient is φ = 17740800.

The previous prime is 38276383. The next prime is 38276387. The reversal of 38276384 is 48367283.

It is not an unprimeable number, because it can be changed into a prime (38276383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38129 + ... + 39119.

It is an arithmetic number, because the mean of its divisors is an integer number (1687392).

Almost surely, 2^38276384 is an apocalyptic number.

38276384 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38276384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40497408).

38276384 is an abundant number, since it is smaller than the sum of its proper divisors (42718432).

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

38276384 is a wasteful number, since it uses less digits than its factorization.

38276384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1081 counting only the distinct ones).

The product of its digits is 193536, while the sum is 41.

The square root of 38276384 is about 6186.7910907028. The cubic root of 38276384 is about 337.0106569139.

The spelling of 38276384 in words is "thirty-eight million, two hundred seventy-six thousand, three hundred eighty-four".