38228580 has 216 divisors, whose sum is σ = 136628856. Its totient is φ = 8570880.

The previous prime is 38228569. The next prime is 38228587. The reversal of 38228580 is 8582283.

It can be written as a sum of positive squares in 4 ways, for example, as 2802276 + 35426304 = 1674^2 + 5952^2 .

It is a super-2 number, since 2×38228580² = 2922848657632800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38228587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1233165 + ... + 1233195.

It is an arithmetic number, because the mean of its divisors is an integer number (632541).

Almost surely, 2^38228580 is an apocalyptic number.

38228580 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 38228580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68314428).

38228580 is an abundant number, since it is smaller than the sum of its proper divisors (98400276).

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

38228580 is a wasteful number, since it uses less digits than its factorization.

38228580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 38228580 is about 6182.9264915572. The cubic root of 38228580 is about 336.8702990981.

The spelling of 38228580 in words is "thirty-eight million, two hundred twenty-eight thousand, five hundred eighty".