38683008 has 320 divisors, whose sum is σ = 145141920. Its totient is φ = 9953280.

The previous prime is 38683003. The next prime is 38683027. The reversal of 38683008 is 80038683.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38683003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 943468 + ... + 943508.

Almost surely, 2^38683008 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 38683008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72570960).

38683008 is an abundant number, since it is smaller than the sum of its proper divisors (106458912).

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

38683008 is a wasteful number, since it uses less digits than its factorization.

38683008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38683008 is about 6219.5665443823. The cubic root of 38683008 is about 338.1998514648.

The spelling of 38683008 in words is "thirty-eight million, six hundred eighty-three thousand, eight".