38446128 has 120 divisors (see below), whose sum is σ = 125968128. Its totient is φ = 10717056.

The previous prime is 38446127. The next prime is 38446201. The reversal of 38446128 is 82164483.

38446128 is a `hidden beast` number, since 38 + 4 + 4 + 612 + 8 = 666.

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

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 = 38446092 and 38446101.

It is not an unprimeable number, because it can be changed into a prime (38446127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42901 + ... + 43787.

Almost surely, 2^38446128 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 38446128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62984064).

38446128 is an abundant number, since it is smaller than the sum of its proper divisors (87522000).

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

38446128 is a wasteful number, since it uses less digits than its factorization.

38446128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 942 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 38446128 is about 6200.4941738542. The cubic root of 38446128 is about 337.5081018631.

The spelling of 38446128 in words is "thirty-eight million, four hundred forty-six thousand, one hundred twenty-eight".