38008560 has 160 divisors (see below), whose sum is σ = 125706240. Its totient is φ = 9483264.

The previous prime is 38008547. The next prime is 38008561. The reversal of 38008560 is 6580083.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38008561) 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, 299217 + ... + 299343.

It is an arithmetic number, because the mean of its divisors is an integer number (785664).

Almost surely, 2^38008560 is an apocalyptic number.

38008560 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 38008560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62853120).

38008560 is an abundant number, since it is smaller than the sum of its proper divisors (87697680).

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

38008560 is a wasteful number, since it uses less digits than its factorization.

38008560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 38008560 is about 6165.1082715553. The cubic root of 38008560 is about 336.2227830912. Note that the first 3 decimals are identical.

The spelling of 38008560 in words is "thirty-eight million, eight thousand, five hundred sixty".