38238816 has 144 divisors (see below), whose sum is σ = 127552320. Its totient is φ = 9918720.

The previous prime is 38238793. The next prime is 38238821. The reversal of 38238816 is 61883283.

38238816 = T₁₇₆ + T₁₇₇ + ... + T₆₁₆.

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 23 ways as a sum of consecutive naturals, for example, 51375 + ... + 52113.

It is an arithmetic number, because the mean of its divisors is an integer number (885780).

Almost surely, 2^38238816 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 38238816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63776160).

38238816 is an abundant number, since it is smaller than the sum of its proper divisors (89313504).

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

38238816 is a wasteful number, since it uses less digits than its factorization.

38238816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 762 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 38238816 is about 6183.7541995134. The cubic root of 38238816 is about 336.9003629636.

The spelling of 38238816 in words is "thirty-eight million, two hundred thirty-eight thousand, eight hundred sixteen".