38878560 has 432 divisors, whose sum is σ = 168058800. Its totient is φ = 8128512.

The previous prime is 38878549. The next prime is 38878561. The reversal of 38878560 is 6587883.

38878560 is a `hidden beast` number, since 3 + 8 + 87 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38878561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1340626 + ... + 1340654.

It is an arithmetic number, because the mean of its divisors is an integer number (389025).

Almost surely, 2^38878560 is an apocalyptic number.

38878560 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 38878560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84029400).

38878560 is an abundant number, since it is smaller than the sum of its proper divisors (129180240).

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

38878560 is a wasteful number, since it uses less digits than its factorization.

38878560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 38878560 is about 6235.2674361249. The cubic root of 38878560 is about 338.7687879632.

The spelling of 38878560 in words is "thirty-eight million, eight hundred seventy-eight thousand, five hundred sixty".