38404784 has 40 divisors (see below), whose sum is σ = 83804160. Its totient is φ = 16891200.

The previous prime is 38404777. The next prime is 38404801. The reversal of 38404784 is 48740483.

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, 1937 + ... + 8975.

It is an arithmetic number, because the mean of its divisors is an integer number (2095104).

Almost surely, 2^38404784 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 38404784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41902080).

38404784 is an abundant number, since it is smaller than the sum of its proper divisors (45399376).

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

38404784 is a wasteful number, since it uses less digits than its factorization.

38404784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7089 (or 7083 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The square root of 38404784 is about 6197.1593492503. The cubic root of 38404784 is about 337.3870758926.

The spelling of 38404784 in words is "thirty-eight million, four hundred four thousand, seven hundred eighty-four".