38128776 has 64 divisors (see below), whose sum is σ = 110467200. Its totient is φ = 10741248.

The previous prime is 38128771. The next prime is 38128781. The reversal of 38128776 is 67782183.

It is an interprime number because it is at equal distance from previous prime (38128771) and next prime (38128781).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (38128771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10710 + ... + 13818.

It is an arithmetic number, because the mean of its divisors is an integer number (1726050).

Almost surely, 2^38128776 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 38128776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55233600).

38128776 is an abundant number, since it is smaller than the sum of its proper divisors (72338424).

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

38128776 is a wasteful number, since it uses less digits than its factorization.

38128776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3198 (or 3194 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 38128776 is about 6174.8502815858. The cubic root of 38128776 is about 336.5768859488.

The spelling of 38128776 in words is "thirty-eight million, one hundred twenty-eight thousand, seven hundred seventy-six".