38806560 has 192 divisors, whose sum is σ = 146482560. Its totient is φ = 9538560.

The previous prime is 38806549. The next prime is 38806571. The reversal of 38806560 is 6560883.

It is an interprime number because it is at equal distance from previous prime (38806549) and next prime (38806571).

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 31 ways as a sum of consecutive naturals, for example, 55815 + ... + 56505.

It is an arithmetic number, because the mean of its divisors is an integer number (762930).

Almost surely, 2^38806560 is an apocalyptic number.

38806560 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 38806560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73241280).

38806560 is an abundant number, since it is smaller than the sum of its proper divisors (107676000).

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

38806560 is a wasteful number, since it uses less digits than its factorization.

38806560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 38806560 is about 6229.4911509689. The cubic root of 38806560 is about 338.5595344552.

It can be divided in two parts, 3880 and 6560, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 38806560 in words is "thirty-eight million, eight hundred six thousand, five hundred sixty".