38712128 has 168 divisors, whose sum is σ = 104802432. Its totient is φ = 13787136.

The previous prime is 38712061. The next prime is 38712143. The reversal of 38712128 is 82121783.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 38712094 and 38712103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1683125 + ... + 1683147.

It is an arithmetic number, because the mean of its divisors is an integer number (623824).

Almost surely, 2^38712128 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 38712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52401216).

38712128 is an abundant number, since it is smaller than the sum of its proper divisors (66090304).

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

38712128 is a wasteful number, since it uses less digits than its factorization.

38712128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 62 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 38712128 is about 6221.9071031316. The cubic root of 38712128 is about 338.2846941385.

The spelling of 38712128 in words is "thirty-eight million, seven hundred twelve thousand, one hundred twenty-eight".