38200320 has 132 divisors (see below), whose sum is σ = 132522780. Its totient is φ = 10174464.

The previous prime is 38200319. The next prime is 38200361. The reversal of 38200320 is 2300283.

It can be written as a sum of positive squares in 2 ways, for example, as 17842176 + 20358144 = 4224^2 + 4512^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 38200293 and 38200302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45666 + ... + 46494.

Almost surely, 2^38200320 is an apocalyptic number.

38200320 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 38200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66261390).

38200320 is an abundant number, since it is smaller than the sum of its proper divisors (94322460).

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

38200320 is a wasteful number, since it uses less digits than its factorization.

38200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 38200320 is about 6180.6407434828. The cubic root of 38200320 is about 336.7872695824.

The spelling of 38200320 in words is "thirty-eight million, two hundred thousand, three hundred twenty".