38424384 has 84 divisors (see below), whose sum is σ = 115966240. Its totient is φ = 12130560.

The previous prime is 38424371. The next prime is 38424409. The reversal of 38424384 is 48342483.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9189 + ... + 12699.

Almost surely, 2^38424384 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 38424384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57983120).

38424384 is an abundant number, since it is smaller than the sum of its proper divisors (77541856).

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

38424384 is a wasteful number, since it uses less digits than its factorization.

38424384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3548 (or 3535 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 38424384 is about 6198.7405172341. The cubic root of 38424384 is about 337.4444616431. Note that the first 4 decimals are identical.

The spelling of 38424384 in words is "thirty-eight million, four hundred twenty-four thousand, three hundred eighty-four".