38784960 has 168 divisors, whose sum is σ = 138897360. Its totient is φ = 10188288.

The previous prime is 38784943. The next prime is 38784979. The reversal of 38784960 is 6948783.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 578847 + ... + 578913.

It is an arithmetic number, because the mean of its divisors is an integer number (826770).

Almost surely, 2^38784960 is an apocalyptic number.

38784960 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 38784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69448680).

38784960 is an abundant number, since it is smaller than the sum of its proper divisors (100112400).

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

38784960 is an equidigital number, since it uses as much as digits as its factorization.

38784960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 38784960 is about 6227.7572207015. The cubic root of 38784960 is about 338.4967079369.

The spelling of 38784960 in words is "thirty-eight million, seven hundred eighty-four thousand, nine hundred sixty".