38224320 has 112 divisors (see below), whose sum is σ = 125638560. Its totient is φ = 9834496.

The previous prime is 38224297. The next prime is 38224327. The reversal of 38224320 is 2342283.

It is a super-2 number, since 2×38224320² = 2922197278924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38224327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27154 + ... + 28526.

Almost surely, 2^38224320 is an apocalyptic number.

38224320 is a gapful number since it is divisible by the number (30) 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 38224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62819280).

38224320 is an abundant number, since it is smaller than the sum of its proper divisors (87414240).

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

38224320 is a wasteful number, since it uses less digits than its factorization.

38224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 38224320 is about 6182.5819848992. The cubic root of 38224320 is about 336.8577855913.

The spelling of 38224320 in words is "thirty-eight million, two hundred twenty-four thousand, three hundred twenty".