38473984 has 36 divisors (see below), whose sum is σ = 77428764. Its totient is φ = 19079168.

The previous prime is 38473979. The next prime is 38473997. The reversal of 38473984 is 48937483.

38473984 = T₃₈₇ + T₃₈₈ + ... + T₆₆₀.

It can be written as a sum of positive squares in 2 ways, for example, as 16646400 + 21827584 = 4080^2 + 4672^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 34524 + ... + 35620.

It is an arithmetic number, because the mean of its divisors is an integer number (2150799).

Almost surely, 2^38473984 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 38473984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38714382).

38473984 is an abundant number, since it is smaller than the sum of its proper divisors (38954780).

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

38473984 is a wasteful number, since it uses less digits than its factorization.

38473984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1236 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The square root of 38473984 is about 6202.7400396921. The cubic root of 38473984 is about 337.5895956004.

The spelling of 38473984 in words is "thirty-eight million, four hundred seventy-three thousand, nine hundred eighty-four".