38482560 has 256 divisors, whose sum is σ = 145411200. Its totient is φ = 9584640.

The previous prime is 38482547. The next prime is 38482579. The reversal of 38482560 is 6528483.

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

It is a congruent number.

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, 293695 + ... + 293825.

Almost surely, 2^38482560 is an apocalyptic number.

38482560 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 38482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72705600).

38482560 is an abundant number, since it is smaller than the sum of its proper divisors (106928640).

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

38482560 is a wasteful number, since it uses less digits than its factorization.

38482560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 38482560 is about 6203.4313085582. The cubic root of 38482560 is about 337.6146770795.

It can be divided in two parts, 384 and 82560, that added together give a square (82944 = 288²).

The spelling of 38482560 in words is "thirty-eight million, four hundred eighty-two thousand, five hundred sixty".