38438240 has 48 divisors (see below), whose sum is σ = 91990080. Its totient is φ = 15175680.

The previous prime is 38438209. The next prime is 38438251. The reversal of 38438240 is 4283483.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 38438197 and 38438206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11120 + ... + 14160.

It is an arithmetic number, because the mean of its divisors is an integer number (1916460).

Almost surely, 2^38438240 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 38438240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45995040).

38438240 is an abundant number, since it is smaller than the sum of its proper divisors (53551840).

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

38438240 is a wasteful number, since it uses less digits than its factorization.

38438240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 38438240 is about 6199.8580628914. The cubic root of 38438240 is about 337.4850180821.

The spelling of 38438240 in words is "thirty-eight million, four hundred thirty-eight thousand, two hundred forty".