38314128 has 80 divisors (see below), whose sum is σ = 102493440. Its totient is φ = 12327552.

The previous prime is 38314117. The next prime is 38314139. The reversal of 38314128 is 82141383.

It is an interprime number because it is at equal distance from previous prime (38314117) and next prime (38314139).

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

It is a junction number, because it is equal to n+sod(n) for n = 38314095 and 38314104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234975 + ... + 235137.

It is an arithmetic number, because the mean of its divisors is an integer number (1281168).

Almost surely, 2^38314128 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 38314128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51246720).

38314128 is an abundant number, since it is smaller than the sum of its proper divisors (64179312).

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

38314128 is a wasteful number, since it uses less digits than its factorization.

38314128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 310 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 38314128 is about 6189.8407087743. The cubic root of 38314128 is about 337.1213949211.

The spelling of 38314128 in words is "thirty-eight million, three hundred fourteen thousand, one hundred twenty-eight".