38516688 has 160 divisors (see below), whose sum is σ = 129515520. Its totient is φ = 10730880.

The previous prime is 38516677. The next prime is 38516689. The reversal of 38516688 is 88661583.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38516689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141993 + ... + 142263.

It is an arithmetic number, because the mean of its divisors is an integer number (809472).

Almost surely, 2^38516688 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 38516688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64757760).

38516688 is an abundant number, since it is smaller than the sum of its proper divisors (90998832).

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

38516688 is a wasteful number, since it uses less digits than its factorization.

38516688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 38516688 is about 6206.1814346666. The cubic root of 38516688 is about 337.7144513606.

It can be divided in two parts, 38516 and 688, that added together give a square (39204 = 198²).

The spelling of 38516688 in words is "thirty-eight million, five hundred sixteen thousand, six hundred eighty-eight".