38104560 has 320 divisors, whose sum is σ = 149990400. Its totient is φ = 8819712.

The previous prime is 38104559. The next prime is 38104571. The reversal of 38104560 is 6540183.

38104560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 645811 + ... + 645869.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^38104560 is an apocalyptic number.

38104560 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 38104560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

38104560 is an abundant number, since it is smaller than the sum of its proper divisors (111885840).

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

38104560 is a wasteful number, since it uses less digits than its factorization.

38104560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 38104560 is about 6172.8891128871. The cubic root of 38104560 is about 336.5056163127.

The spelling of 38104560 in words is "thirty-eight million, one hundred four thousand, five hundred sixty".