38304384 has 64 divisors (see below), whose sum is σ = 106194240. Its totient is φ = 12210176.

The previous prime is 38304379. The next prime is 38304397. The reversal of 38304384 is 48340383.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6664 + ... + 11000.

It is an arithmetic number, because the mean of its divisors is an integer number (1659285).

Almost surely, 2^38304384 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 38304384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53097120).

38304384 is an abundant number, since it is smaller than the sum of its proper divisors (67889856).

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

38304384 is a wasteful number, since it uses less digits than its factorization.

38304384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4365 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 38304384 is about 6189.0535625409. The cubic root of 38304384 is about 337.0928137375.

The spelling of 38304384 in words is "thirty-eight million, three hundred four thousand, three hundred eighty-four".