38218320 has 120 divisors (see below), whose sum is σ = 146704896. Its totient is φ = 8734464.

The previous prime is 38218309. The next prime is 38218321. The reversal of 38218320 is 2381283.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38218321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1249 + ... + 8831.

Almost surely, 2^38218320 is an apocalyptic number.

38218320 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 38218320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73352448).

38218320 is an abundant number, since it is smaller than the sum of its proper divisors (108486576).

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

38218320 is a wasteful number, since it uses less digits than its factorization.

38218320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7609 (or 7600 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 38218320 is about 6182.0967316923. The cubic root of 38218320 is about 336.8401593569.

The spelling of 38218320 in words is "thirty-eight million, two hundred eighteen thousand, three hundred twenty".