38855760 has 80 divisors (see below), whose sum is σ = 126807360. Its totient is φ = 9815040.

The previous prime is 38855753. The next prime is 38855771. The reversal of 38855760 is 6755883.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300 + ... + 8820.

It is an arithmetic number, because the mean of its divisors is an integer number (1585092).

Almost surely, 2^38855760 is an apocalyptic number.

38855760 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 38855760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63403680).

38855760 is an abundant number, since it is smaller than the sum of its proper divisors (87951600).

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

38855760 is a wasteful number, since it uses less digits than its factorization.

38855760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8556 (or 8550 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 38855760 is about 6233.4388582868. The cubic root of 38855760 is about 338.7025523247.

The spelling of 38855760 in words is "thirty-eight million, eight hundred fifty-five thousand, seven hundred sixty".