38304448 has 56 divisors (see below), whose sum is σ = 93565472. Its totient is φ = 15151104.

The previous prime is 38304421. The next prime is 38304463. The reversal of 38304448 is 84440383.

It is a tau number, because it is divible by the number of its divisors (56).

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, 2536 + ... + 9112.

It is an arithmetic number, because the mean of its divisors is an integer number (1670812).

Almost surely, 2^38304448 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 38304448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46782736).

38304448 is an abundant number, since it is smaller than the sum of its proper divisors (55261024).

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

38304448 is a wasteful number, since it uses less digits than its factorization.

38304448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6609 (or 6599 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 38304448 is about 6189.0587329577. The cubic root of 38304448 is about 337.0930014786.

The spelling of 38304448 in words is "thirty-eight million, three hundred four thousand, four hundred forty-eight".