38198144 has 32 divisors (see below), whose sum is σ = 76836600. Its totient is φ = 18913792.

The previous prime is 38198143. The next prime is 38198161. The reversal of 38198144 is 44189183.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 38198098 and 38198107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38198143) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 12302 + ... + 15090.

Almost surely, 2^38198144 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 38198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38418300).

38198144 is an abundant number, since it is smaller than the sum of its proper divisors (38638456).

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

38198144 is a wasteful number, since it uses less digits than its factorization.

38198144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2898 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The square root of 38198144 is about 6180.4647074472. The cubic root of 38198144 is about 336.7808746707.

The spelling of 38198144 in words is "thirty-eight million, one hundred ninety-eight thousand, one hundred forty-four".