38427984 has 120 divisors (see below), whose sum is σ = 124962240. Its totient is φ = 10796544.

The previous prime is 38427967. The next prime is 38427989. The reversal of 38427984 is 48972483.

38427984 = T₁₄₇ + T₁₄₈ + ... + T₆₁₅.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38427989) 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, 67252 + ... + 67820.

It is an arithmetic number, because the mean of its divisors is an integer number (1041352).

Almost surely, 2^38427984 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 38427984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62481120).

38427984 is an abundant number, since it is smaller than the sum of its proper divisors (86534256).

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

38427984 is a wasteful number, since it uses less digits than its factorization.

38427984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 648 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 38427984 is about 6199.0308920024. The cubic root of 38427984 is about 337.4549997615.

The spelling of 38427984 in words is "thirty-eight million, four hundred twenty-seven thousand, nine hundred eighty-four".