38266560 has 224 divisors, whose sum is σ = 139476480. Its totient is φ = 9870336.

The previous prime is 38266559. The next prime is 38266567. The reversal of 38266560 is 6566283.

38266560 is a `hidden beast` number, since 38 + 2 + 66 + 560 = 666.

It is a super-2 number, since 2×38266560² = 2928659228467200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (38266567) 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, 371469 + ... + 371571.

Almost surely, 2^38266560 is an apocalyptic number.

38266560 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 38266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69738240).

38266560 is an abundant number, since it is smaller than the sum of its proper divisors (101209920).

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

38266560 is a wasteful number, since it uses less digits than its factorization.

38266560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 38266560 is about 6185.9970902030. The cubic root of 38266560 is about 336.9818221109.

Adding to 38266560 its sum of digits (36), we get a square (38266596 = 6186²).

The spelling of 38266560 in words is "thirty-eight million, two hundred sixty-six thousand, five hundred sixty".