38385408 has 72 divisors (see below), whose sum is σ = 103148416. Its totient is φ = 12672000.

The previous prime is 38385407. The next prime is 38385419. The reversal of 38385408 is 80458383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38385407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115803 + ... + 116133.

Almost surely, 2^38385408 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 38385408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51574208).

38385408 is an abundant number, since it is smaller than the sum of its proper divisors (64763008).

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

38385408 is a wasteful number, since it uses less digits than its factorization.

38385408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 38385408 is about 6195.5958551216. The cubic root of 38385408 is about 337.3303267849.

The spelling of 38385408 in words is "thirty-eight million, three hundred eighty-five thousand, four hundred eight".