38026144 has 96 divisors (see below), whose sum is σ = 90175680. Its totient is φ = 15593472.

The previous prime is 38026139. The next prime is 38026187. The reversal of 38026144 is 44162083.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134227 + ... + 134509.

It is an arithmetic number, because the mean of its divisors is an integer number (939330).

Almost surely, 2^38026144 is an apocalyptic number.

38026144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38026144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45087840).

38026144 is an abundant number, since it is smaller than the sum of its proper divisors (52149536).

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

38026144 is a wasteful number, since it uses less digits than its factorization.

38026144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 38026144 is about 6166.5341967754. The cubic root of 38026144 is about 336.2746243074.

The spelling of 38026144 in words is "thirty-eight million, twenty-six thousand, one hundred forty-four".