38353224 has 128 divisors (see below), whose sum is σ = 125072640. Its totient is φ = 9510912.

The previous prime is 38353223. The next prime is 38353243. The reversal of 38353224 is 42235383.

It is a junction number, because it is equal to n+sod(n) for n = 38353191 and 38353200.

It is not an unprimeable number, because it can be changed into a prime (38353223) 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, 36612 + ... + 37644.

It is an arithmetic number, because the mean of its divisors is an integer number (977130).

Almost surely, 2^38353224 is an apocalyptic number.

38353224 is a gapful number since it is divisible by the number (34) 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 38353224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62536320).

38353224 is an abundant number, since it is smaller than the sum of its proper divisors (86719416).

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

38353224 is a wasteful number, since it uses less digits than its factorization.

38353224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1075 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 38353224 is about 6192.9979815918. The cubic root of 38353224 is about 337.2360229383.

The spelling of 38353224 in words is "thirty-eight million, three hundred fifty-three thousand, two hundred twenty-four".