38250144 has 72 divisors (see below), whose sum is σ = 112825440. Its totient is φ = 12747456.

The previous prime is 38250137. The next prime is 38250169. The reversal of 38250144 is 44105283.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5317 + ... + 10235.

It is an arithmetic number, because the mean of its divisors is an integer number (1567020).

Almost surely, 2^38250144 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 38250144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56412720).

38250144 is an abundant number, since it is smaller than the sum of its proper divisors (74575296).

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

38250144 is an equidigital number, since it uses as much as digits as its factorization.

38250144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4944 (or 4924 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 38250144 is about 6184.6700801255. The cubic root of 38250144 is about 336.9336278579.

The spelling of 38250144 in words is "thirty-eight million, two hundred fifty thousand, one hundred forty-four".