38466144 has 72 divisors (see below), whose sum is σ = 112727160. Its totient is φ = 12761280.

The previous prime is 38466139. The next prime is 38466157. The reversal of 38466144 is 44166483.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

38466144 is a `hidden beast` number, since 38 + 4 + 6 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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.

Its product of digits (55296) is a multiple of the sum of its prime divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 38466099 and 38466108.

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 11 ways as a sum of consecutive naturals, for example, 182199 + ... + 182409.

It is an arithmetic number, because the mean of its divisors is an integer number (1565655).

Almost surely, 2^38466144 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 38466144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56363580).

38466144 is an abundant number, since it is smaller than the sum of its proper divisors (74261016).

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

38466144 is an equidigital number, since it uses as much as digits as its factorization.

38466144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 216 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 38466144 is about 6202.1080287270. The cubic root of 38466144 is about 337.5666633749.

Multiplying 38466144 by its product of digits (55296), we get a square (2127023898624 = 1458432²).

The spelling of 38466144 in words is "thirty-eight million, four hundred sixty-six thousand, one hundred forty-four".