38490144 has 192 divisors, whose sum is σ = 130056192. Its totient is φ = 9676800.

The previous prime is 38490139. The next prime is 38490149. The reversal of 38490144 is 44109483.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38490139) and next prime (38490149).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38490149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303009 + ... + 303135.

It is an arithmetic number, because the mean of its divisors is an integer number (677376).

Almost surely, 2^38490144 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 38490144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65028096).

38490144 is an abundant number, since it is smaller than the sum of its proper divisors (91566048).

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

38490144 is a wasteful number, since it uses less digits than its factorization.

38490144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 38490144 is about 6204.0425530456. The cubic root of 38490144 is about 337.6368542383.

The spelling of 38490144 in words is "thirty-eight million, four hundred ninety thousand, one hundred forty-four".