38838288 has 80 divisors (see below), whose sum is σ = 106151936. Its totient is φ = 12216960.

The previous prime is 38838277. The next prime is 38838301. The reversal of 38838288 is 88283883.

It is a super-2 number, since 2×38838288² = 3016825229541888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63681 + ... + 64287.

Almost surely, 2^38838288 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 38838288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53075968).

38838288 is an abundant number, since it is smaller than the sum of its proper divisors (67313648).

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

38838288 is a wasteful number, since it uses less digits than its factorization.

38838288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 686 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 38838288 is about 6232.0372271032. The cubic root of 38838288 is about 338.6517773712.

The spelling of 38838288 in words is "thirty-eight million, eight hundred thirty-eight thousand, two hundred eighty-eight".