38790144 has 176 divisors, whose sum is σ = 121837440. Its totient is φ = 12165120.

The previous prime is 38790131. The next prime is 38790187. The reversal of 38790144 is 44109783.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 38790099 and 38790108.

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, 635874 + ... + 635934.

Almost surely, 2^38790144 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 38790144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60918720).

38790144 is an abundant number, since it is smaller than the sum of its proper divisors (83047296).

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

38790144 is a wasteful number, since it uses less digits than its factorization.

38790144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 38790144 is about 6228.1734079905. The cubic root of 38790144 is about 338.5117884282.

The spelling of 38790144 in words is "thirty-eight million, seven hundred ninety thousand, one hundred forty-four".