38546144 has 144 divisors (see below), whose sum is σ = 99743616. Its totient is φ = 14515200.

The previous prime is 38546143. The next prime is 38546161. The reversal of 38546144 is 44164583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38546143) 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, 631874 + ... + 631934.

It is an arithmetic number, because the mean of its divisors is an integer number (692664).

Almost surely, 2^38546144 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 38546144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49871808).

38546144 is an abundant number, since it is smaller than the sum of its proper divisors (61197472).

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

38546144 is a wasteful number, since it uses less digits than its factorization.

38546144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its digits is 46080, while the sum is 35.

The square root of 38546144 is about 6208.5540989831. The cubic root of 38546144 is about 337.8005195266.

The spelling of 38546144 in words is "thirty-eight million, five hundred forty-six thousand, one hundred forty-four".