38782116 has 108 divisors (see below), whose sum is σ = 108435600. Its totient is φ = 11651040.

The previous prime is 38782111. The next prime is 38782123. The reversal of 38782116 is 61128783.

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

It is not an unprimeable number, because it can be changed into a prime (38782111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 657295 + ... + 657353.

Almost surely, 2^38782116 is an apocalyptic number.

38782116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38782116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54217800).

38782116 is an abundant number, since it is smaller than the sum of its proper divisors (69653484).

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

38782116 is a wasteful number, since it uses less digits than its factorization.

38782116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 114 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 38782116 is about 6227.5288839154. The cubic root of 38782116 is about 338.4884340409.

The spelling of 38782116 in words is "thirty-eight million, seven hundred eighty-two thousand, one hundred sixteen".