38784240 has 240 divisors, whose sum is σ = 146240640. Its totient is φ = 9131520.

The previous prime is 38784217. The next prime is 38784283. The reversal of 38784240 is 4248783.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 38784195 and 38784204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467239 + ... + 467321.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 2^38784240 is an apocalyptic number.

38784240 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 38784240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

38784240 is an abundant number, since it is smaller than the sum of its proper divisors (107456400).

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

38784240 is a wasteful number, since it uses less digits than its factorization.

38784240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 38784240 is about 6227.6994147117. The cubic root of 38784240 is about 338.4946133179.

It can be divided in two parts, 3878 and 4240, that added together give a palindrome (8118).

The spelling of 38784240 in words is "thirty-eight million, seven hundred eighty-four thousand, two hundred forty".