38815560 has 192 divisors, whose sum is σ = 146839680. Its totient is φ = 8709120.

The previous prime is 38815549. The next prime is 38815571. The reversal of 38815560 is 6551883.

38815560 is a `hidden beast` number, since 3 + 88 + 15 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (38815549) and next prime (38815571).

It is a super-2 number, since 2×38815560² = 3013295396227200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183855 + ... + 184065.

It is an arithmetic number, because the mean of its divisors is an integer number (764790).

Almost surely, 2^38815560 is an apocalyptic number.

38815560 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 38815560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73419840).

38815560 is an abundant number, since it is smaller than the sum of its proper divisors (108024120).

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

38815560 is a wasteful number, since it uses less digits than its factorization.

38815560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 38815560 is about 6230.2134794885. The cubic root of 38815560 is about 338.5857052907.

The spelling of 38815560 in words is "thirty-eight million, eight hundred fifteen thousand, five hundred sixty".